Write the log equation as an exponential equation. You do not need to solve for x.
log (x^2– 5x + 14) = 2x + 4

Answers

Answer 1

9514 1404 393

Answer:

  x^2 -5x +14 = 10^(2x +4)

Step-by-step explanation:

The relationship is ...

  log(a) = b   ⇔   a = 10^b

__

Using this with a=x^2-5x+14 and b=2x+4, we have ...

  x^2 -5x +14 = 10^(2x +4)

_____

Additional comments

In plain text, the exponent needs parentheses, because superscript formatting is not available to tell what is and isn't part of the exponent.

The base of "log" is assumed to be 10 in high school algebra. In the larger world, "log" is often used in place of "ln" to mean the logarithm to base 'e'.

__

The one solution is approximately x = −1.32505947996.


Related Questions

with a coupon, you can gat a pair of shoes that normally cost $84 for only $72. what percentage was the discount?​

Answers

Answer:

14.29%

Step-by-step explanation:

72/84 = 6/7

7/7-6/7 = 1/7

1/7 = approximately 14.29%

14.29 is the answer

Please help! I may have more to ask!!

Answers

Answer:

Perimeter = 26.85 in.

Step-by-step explanation:

Perimeter of a figure = Sum of the lengths of the boundaries of the figure

In the figure attached,

There is a parallelogram with side lengths 5 in, 7 in and 7 in.

And a semicircle with radius 'r' = [tex]\frac{5}{2}[/tex] = 2.5 in

Now the circumference of the semicircle = πr

                                                                    = π(2.5)

                                                                    = 7.85 in.

Now the perimeter of the total figure = 7 + 5 + 7 + 7.85

                                                              = 26.85 in.

Therefore, perimeter of the figure is 26.85 in.

compará y ordena de mayor a menor las siguientes cantidades 23.4 ,15/20 ,32.245,.056,4/10,50/100,8/9,.009,9/1000 y 54.45​

Answers

Answer:

El orden de mayor a menor es:

54.45 ; 32.245 ; 23.4 ; 8/9 ; 15/20 ; 50/100 ; 4/10 ; 0.056 ; 9/1000

Step-by-step explanation:

El mayor número será el que tenga el mayor entero, o  si tienen el mismo entero será aquel que tenga el primer decimal mayor de izquierda a derecha,  o si tienen el mismo se observa el siguiente decimal y así sucesivamente.

Para ordenar y comparar las cantidades es conveniente en primer lugar pasar todos los números a decimales. Para convertir una fracción en un decimal, debes dividir el numerador entre el denominador.

Entonces, en este caso el valor decimal de cada cantidad (o una aproximación) es:

23.4

15/20= 0.75

32.245

0.056

4/10= 0.4

50/100= 0.5

8/9= 0.8888

0.009

9/1000= 0.009

54.45​

Entonces el orden de mayor a menor es:

54.45 ; 32.245 ; 23.4 ; 8/9 = 0.8888 ; 15/20 = 0.75 ; 50/100 = 0.5 ; 4/10 = 0.4 ; 0.056 ; 9/1000 = 0.009

Who can help me pronto i will give a brainliest

Answers

Answer:I think it would be C

Step-by-step explanation:

Answer:

1) B

-2x+y=4

+2x+3y=20.

4y=24

2) 4y=24. divide both sides by 4

y= 6

3) (Pick any equation you like, change y to 6)

-2x+6=4 subtract 6 to both sides

-2x=-2 divide by -2

x=1

or

2x+3(6)=20. --> 2x+18=20 subtract 18 to both sides

2x=2. divide by 2

x=1

4) (x,y) change the x and y to their values. (1,6)

Step-by-step explanation:

explained on top

Planets in Earth’s Solar System are grouped according to their distance from the Sun. Which choice correctly identifies an inner planet and an outer planet and their correct characteristics?

Answers

Answer:

its inner mars made of gas

and outer Jupiter made of rock

Step-by-step explanation:

i am in high school trust me

Answer:

inner venus made of rock

outer neptune made of gas

Step-by-step explanation:

inner planets are made of rock

outer planets are made of gas

inner planets: mercury, venus,earth. and mars

outer planets: jupiter,saturn,uranus and neptune

hope that helped!!!

Where are my smart friends?? I had $3.00. My Mom gave $10.00. My Dad gave $30.00. My Aunt and Uncle gave me $100.00. I had another $12.00. How much did I have?

Answers

Answer:

$155

Step-by-step explanation:

3 + 10 + 30 + 100 + 12 =

Answer:

$155

Step-by-step explanation:

3 + 10 + 30 + 100 + 12 = 155

You are by far, much richer than me

A yard dart is thrown from a height of 3 feet with an initial velocity of 25 feet per second at an elevation angle of 70°.

How long is the dart in the air? Round to the nearest tenth

A. 0.7

B. 0.8

C. 1.5

D. 1.6

Answers

Answer:

D

Step-by-step explanation:

Plugged it into a projectile motion calc, got 1.58. So 1.6 (rounded).

What is the simple interest earned when the principal is $3050, the rate is 6% and 3 years?

Answers

Answer:

$549

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 3050 × 0.06 × 3 = 549

I = $ 549.00

The simple interest accumulated

on a principal of $ 3,050.00

at a rate of 6% per year

for 3 years is $ 549.00.

Answer:

I’m pretty sure 549

Step-by-step explanation:

3 (x + 7) = -12
x + 7 = ?
x = ?
Find out ? fast

Answers

Answer:

×=-11

Step-by-step explanation:

3x+21=-12

3×=-33

×=-11

Answer:

x=-11

x+7=-4

Step-by-step explanation:

3(x+7)=-12

3x+21=-12

3x=-12-21

3x=-33

x=-33/3

x=-11

-11+7=-4

Evaluate the integral by making the given substitution. (Use C for the constant of integration.)

∫ x^2√x^3+37 dx, u=x^3+37

Answers

The Given integral is :

∫x²√x³ + 37 dx ; u = x³ + 37

Answer:

2/9(x³ + 37)^3/2 + C

Step-by-step explanation:

∫x²√x³ + 37 dx ; u = x³ + 37

∫x²√u dx

Since u = x³ + 37

Differentiate u with respect to x

du/dx = 3x²

du = 3x²dx

dx = du / 3x²

∫x²√u dx = ∫x²√u du/3x²

1/3x²∫x²√u du

1/3 ∫ √u du

Integrating √u with respect to u

1/3 ∫ u^1/2 du

1/3 [u^(1/2+1) / 1/2 + 1] + C

1/3 [u^3/2 / 3/2] + C

1/3 u^3/2 * 2/3 + C

1/3*2/3 u^3/2 + C

2/9 u^3/2

u = x³ + 37

2/9(x³ + 37)^3/2 + C

The sales Amount is 12,500.00, and 5% sales tax
a. what's is sales tax?
b. What's the total amount paid?​

Answers

Answer:

Step-by-step explanation:

a.A sales tax is a consumption tax imposed by the government on the sale of goods and services.

b.12500x5%=625

how many years will it take $136000 to grow to 468000 if invested in an account with an annual interest rate of 8%

Answers

17 years? The answer I got wasn’t exact so it could be wrong...

what is x10=22130 bc i have no idea

Answers

Answer:

x = 2213

Step-by-step explanation:

We need to find the value of x, which is multiplied by 10. We know that 10x = 22130, so all we need to do is divide both sides by ten.

10x ÷ 10 = x

22130 ÷ 10 = 2213

Therefore, x = 2213

NOTE:

I'm not sure if you meant to type x10, because if so, that's an entirely new equation. If you just meant 10x, you can ignore this.

To solve this, you have to take the root of both sides and solve.

Exact Form:

x  =  10 √ 22130 ,  − 10 √ 22130  

Decimal Form:  x = 2.71955684 … ,  − 2.71955684 …

Answer:

x = 2213

Step-by-step explanation:

22130/10 = 2213

Can someone help me understand what I am suppose to do on here? And or give me some answers with examples on how to get the answer.

Answers

Answer:

that makes no sence at all you are doing some weird work

>:)))))))))
i use u guys to get though exam

Answers

Answer:

B) 3/8

Step-by-step explanation:

Proportion/ Ratio:

3 pounds to 8 flower beds

3 : 8

3 / 8

if sin=3 by 5 and cos =4 by 5 find tan​

Answers

Answer:

3/4

Step-by-step explanation:

[tex]tan = \frac{sin}{cos } [/tex]

=3/5/4/5

=3/5 × 5/4

=15/20

=3/4

What is 1% of 3,098?

Answers

Answer:

30.98

Step-by-step explanation:

Answer:

30.98

Step-by-step explanation:

a rectangular tray is 820mm long and 400mm wide .find its area in m²​

Answers

Answer:

0.328 [tex]m^{2}[/tex]

Step-by-step explanation:

820mm = 82cm = 0.82m

400mm = 40cm = 0.40m

0.82 x 0.40 = 0.328

If a rectangular tray is 820mm long and 400mm wide. Its area in ​ will be: 0.328m²

Using this formula

Area=Length × Width

First step is to covert from millimeter to meter

1 millimeter=0.1 centimeter

Hence:

Length=820mm×0.1÷100

Length=0.82m

Width=400mm×0.1÷100

Width= 0.40m

Let plug in the formula

Area=0.82m x 0.40m

Area= 0.328m²​

Inconclusion If a rectangular tray is 820mm long and 400mm wide. Its area in ​ will be: 0.328m².

Learn more here:

https://brainly.com/question/3340228

WILL GIVE BRAINLIEST FOR A CORRECT ANSWER:
A boat travels for 3 hours with a current of 3 mph, and returns back in 4 hours. How far did the boat travel in one way?​

Answers

Answer:

Solution:

the boat's speed in still water: x

The speed with current: (x+3)

The speed against current: (x-3)

The equation is

3(x+3) = 4(x-3)

x = 21 mph

The distance = 3*(21+3)= 72 miles

I  choose (A)

Step-by-step explanation:

Answer:

72 Miles

Step-by-step explanation:

A homeowner wants to fence her rectangular backyard. The yard is 63ft by 66ft. If fencing costs $2 per foot, how much will it cost to fence the yard?

Answers

Answer:

Step-by-step explanation:

If 39 is 5% of a number, what is that number? How did you find your answer?

Answers

39 is 5% of 780 you find it by multiplying 20 by 5% x 20 which equals 100 and then you Use the same number you used with 5% (20) and Multiply it with 39 which gets you 780 so 39x20=780

The temperatures at four locations are 5°, –15°, –7°, and 0°.
Which list shows these temperatures from coldest to warmest?
A. –15°, –7°, 0°, 5°
B. 0°, 5°, –7°, –15°
C. 5°, 0°, –7°, –15°
D. –15°, –7°, 5°, 0°

Answers

Answer:

A

Step-by-step explanation:

The answer is C because the lower number make it colder

Elena says I find 25.44 and then move the decimal point

Answers

Answer: help a homegirl out

Step-by-step explanation: let me get these points please

What is the quotient of 1+ 3 Over 4 and 2 over 5

Answers

Answer:

2 1/2

Step-by-step explanation:

(These are fractions)

1+3 ÷ 2

4 5

(Simplify)

4 ÷ 2

4 5

(Same denominator)

20 ÷ 8

20 20

(Divide)

2 1/2

Your uncle has said that if you agree to finish college he will give you equal payments of $1,000 at the end of each year for the next eight years.
If the annual interest rate stays constant at 6%, what is the value of these payments in today's dollars? (Note: Round your answer to the nearest
whole dollar.)
O $6,583
O $5,279
$7,763
$6,210

Answers

The answer 6,210 ........

Prove which of the following side lengths represents a right triangle?
A 3, 5, 8
B 9, 12, 15
C 3, 4, √14
D 1, 2, 3
Help plz

Answers

The answer is b
A^2+b^2=c^2
9^2+12^2=15^2
81+144=225

165% as a fraction. PLEASE I NEED IT NOW

Answers

Answer:

33/20

Step-by-step explanation:

Answer:

1.65 is the answer just put a decimal

please help me with this answer​

Answers

i think it’s A cuz if u add normally A is the answer u get

Answer: B. 2x^4+12x^2-8

Step-by-step explanation: x^2+4x+2 x 2x^2+3x-4

x^2 x 2x^2+4x+3x+2-4

2x^4+12x^2-8

I think its B because the question does say that you have to multiply.

The bakers at Healthy Bakery can make 290 bagels in 10 hours. How many bagels can they bake in 23 hours? What was that rate per hour?

Answers

Answer: 667 bagels in 23 hours. 29 bagels per hour

Step-by-step explanation:

They can bake 667 bagels in 23 hours. They bake 29 bagels per hour or 29x.

Photo attached please help

Answers

it’s a

hope this helped!:)
I’m pretty sure it’s a
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