Use the properties of logarithms to determine the value of logb 1. Explain your reasoning.

Answers

Answer 1

Answer:

[tex]log_b 1 = 0[/tex]

Step-by-step explanation:

Given

[tex]log_b 1[/tex]

Required

Solve

[tex]log_b 1[/tex]

Express 1 as [tex]b^0[/tex]

[tex]log_b 1 = log_b b^0[/tex]

Apply power rule of logarithms

[tex]log_b 1 = 0 * log_b b[/tex]

Multiply by 0

[tex]log_b 1 = 0[/tex]

Answer 2

Answer:

logb 1 = 0

Step-by-step explanation:

Suppose that logb 1 = x.

Using the definition of a logarithm, bx = 1.

The only way a number that’s not equal to 1 can be raised to a power and equal 1 is if the exponent is 0. So, x = 0.

Therefore, logb 1 = 0.


Related Questions

What is the area of the figure below?

Answers

1/2 x b x h = 36 , like if u find that please :) .

solve for x and solve for y

Answers

Answer:

gvaaliyar steshan steshan

both are 90 degrees. if you need more help message me.

<1 and <2 form a linear pair. The measure of <1 = (2x+8) and the measure of <2 = (8x + 22). What is the measure of <1?

Answers

Answer:

Step-by-step explanation: Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:

measure angle 1 + measure angle 2 = 180°

Since measure of angle 2 is six more than twice the measure of angle 1, therefore:

measure angle 2 = 2 (measure angle 1) + 6

hence, substituting this into the first equation:

measure angle 1 + 2 (measure angle 1) + 6 = 180

3 (measure angle 1) = 174

measure angle 1 = 58°

Therefore,

measure angle 2 = 2 (measure angle 1) + 6

measure angle 2 = 2 (58°) + 6

measure angle 2 = 122*

Dameon wants to move to a new apartment in his neighborhood. The data shows the monthly rate for the one bedroom apartments in his neighborhood. What is the monthly rent for his apartments?

Answers

Answer:

1,010

Step-by-step explanation:

Answer:

1010

Step-by-step explanation:

The number of pies available for sale at the Pie in the Sky Bakery varies over the course of the day, and given by P(t)=30-2t^2+16t, where t is the number of hours since the store opens in the morning. What is the average rate at which this number changes during the first t hours that the store is open

Answers

Answer:

30-2t^2+16t/t

Step-by-step explanation:

x+5 I'll give brainiest

Answers

i think the answer is 5x

Answer:

X + 5 =  X + 5

Step-by-step explanation:

The answer is X + 5 because they both are different simbuls, wich means you cant add them. The answer just stayes x + 5.

HELPPP ME PLEASE I REALLY NEED HELP

Answers

Answer:   choice F) 12 & 1/2 square yards.

=====================================================

We'll use this formula

a & b/c = (a*c + b)/c

to convert from a mixed number to an improper fraction.

Let's convert the first mixed number to an improper fraction

a & b/c = (a*c + b)/c

3 & 3/4 = (3*4 + 3)/4

3 & 3/4 = 15/4

Repeat the same idea for the second mixed number as well

a & b/c = (a*c + b)/c

3 & 1/3 = (3*3 + 1)/3

3 & 1/3 = 10/3

--------------------

In short we have

3 & 3/4 = 15/43 & 1/3 = 10/3

Doing these conversions is useful to be able to multiply the values like so:

(15/4)*(10/3) = (15*10)/(4*3) = 150/12 = (6*25)/(6*2) = 25/2

Now use your calculator to find that 25/2 = 12.5

We can then say....

12.5 = 12 + 0.5 = 12 + (1/2) = 12 & 1/2

The answer is choice F) 12 & 1/2 square yards.

Enter an expression equivalent to (2x^2- 4x + 5) + (x^2+ 3x – 7) using the fewest possible number of terms.

Answers

answer:
5x - 2
step-by-step explanation:
parentheses
(2x^2 - 4x + 5) + (x^2 + 3x - 7)
4x - 4x + 5 + 2x + 3x - 7
add like terms
5x - 2

pls help me tysmmm~


!!

Answers

Answer:

It is 6,4 or 4,6

Step-by-step explanation:

What is the equation of the vertical line through the point (4, 0)?


x = 0

y = 4

x = 4

y = 0

Answers

answer:
x = 4
y = 0

explanation:
(4, 0)
(x, y)

Answer:

x = 4

Step-by-step explanation:

I took the test and it was right :)

Pls help I need to pass

Answers

Answer:

Make a graph similar to this picture:

Answer:

make a graph one side being for the -3,-2,-1 and the other for the -2<x<-1?

Step-by-step explanation:

Work out the size of the angle X.

Give your answer correct to 3 significant figures.

Answers

Step-by-step explanation:

Recall the Ratio for tan

Tan(theta) = opposite / adjacent

Tan (x) = 9 / 5

solve for x (use Tan^-1(...) )

Answer:

Step-by-step explanation:

take x as reference angle

using tan rule

tan x=opposite/adjacent

tan x=9/5

tan x=1.8

x=tan 61 degree

x=61 degree

for remaining angle

remaining angle+90+61=180 degree(being sum of interior angle of a triangle)

remaining angle=180-151

remaining angle=29 degree

Kaden will toss two dice. What is the probability of one die landing on a number less
than 3, and the other landing on a number greater
than 5?

A.1/6
B.1/12
C.1/9
D.1/18

Answers

Answer: b

Step-by-step explanation:

What is the angle and the answer pls help this is a quiz grade

Answers

Answer:

27°

Step-by-step explanation:

The two lines are parallel, causing them to be equal

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Simplify the answer if possible

Answers

Answer:

A. 23/30

Step-by-step explanation:

2/3+1/10

Find the LCM (Least Common Multiple):

20/30+3/30 = 23/30

Answer:

A

Step-by-step explanation:

you put 2/3 = 20/30 because you add a 0 2 * 10 is 20 and so on. same for 1/10 multiply nand d by 3= 3/30 so 20/30+3/30= 23/30

The following two polynomials are added: (5x 3 −3x 2 +7x)+(4x 3 + ? +7x)=9x 3 −2x 2 +14x
Find the value of the question mark.

Answers

Answer:

Step-by-step explanation:

-2x²- (-3x²) = x²

_______

will give brainliest. no links please

Answers

hi my name is daniell with two ls my mom calls me fat boy and i hate it

Calculate the exact value of

Answers

Answer:

Calculate the exact value of what? :)

Explanation:

Every person has blood type O, A, B, or AB. A random group of people are blood-typed, and the results are shown in the table. A 2-column table with 4 rows is shown. The first column is labeled Blood Type with entries O, A, B, AB. The second column is labeled Number of People with entries 22, 20, 6, 2. Use the table to determine the following probabilities. The probability that a randomly chosen person from this group has type B is . The probability that a randomly chosen person from this group has type AB is . The probability that a randomly chosen person from this group has type B or type AB blood is

Answers

Answer:

3/25 for type B, 1/25 for type AB, and 4/25 for both

Step-by-step explanation:

O goes to 22

A goes to 20

B goes to 6

AB goes to 2

22+20+6+2 = 50, so (number of people with a certain blood type)/50 = the answers for each question.

GIVING BRAINLIST! $ CHOSE ANY!

Answers

Answer:

36in for the 1st one

Step-by-step explanation:

Answer:

36 in- mild

Hope this helps!!

What’s the correct answer
A.1
B.2
C.3
D.4
E.5

Answers

Please like it if you did find it good :) !

find the volume of the shape​

Answers

Step-by-step explanation:

[tex]\small\mathfrak\red{here \: is \: your \: solution...} \\ \\ \small\mathcal\purple{volume \: of \: hemisphere \: = (2 \div 3)\pi \: r ^{3 \: } .} \\ \\ \small\mathfrak\purple{radius \: of \: hemisphere \: = 6 \: cm.} \\ \\ \small\mathfrak\purple{volume \: of \: hemisphere \: = (2 \div 3)(22 \div7 ) \times 6 {}^{3} .} \\ \\ \small\mathfrak\purple{volume \: = 452.16 \: cm {}^{3} .} \\ \\ \huge\mathfrak\pink{hope \: it \: helps.}[/tex]

PLEASE HELP ME!! WILL GIVE BRAINLIEST! WORTH 10 POINTS!
The box-and-whisker plot below represents some data set. What percentage of the data values are greater than 40?

Answers

60% sorry I have to type a lil more

Manny walked around basketball court. The courtis 27m long and 17 m wide. What is perimeter of court

Answers

Answer:

The perimeter of the court is 88 m

Step-by-step explanation:

To find the perimeter:  (27 x 2)+(17 x 2)     length*2 + width*2

Hope this helps :)

Hello I really need help be genuine I don’t want any links ! I really need help I will make brainliest :(

Answers

Answer:

28 of the student do not snowboard

Step-by-step explanation:

which equation represents a line that has a slope of
po y
and a y-intercept at (0, 6)?

Answers

Answer: 0 is y intercept and 6 is x intercept.

Step-by-step explanation:

help please this is due by tonight

Answers

The answer is 2.4 I checked it

Answer:

0.27

Step-by-step explanation:

[tex]1)\ A_1 = \frac{h(a+b)}{2} = \frac{6(12+18)}{2} = \frac{6*30}{2} = \frac{180}{2} = 90[/tex]

[tex]2)\ A_2 = 14 * 24 = 336[/tex]

[tex]3)\ P = \frac{A_1}{A_2} = \frac{90}{336} = 27%[/tex]

Dawson is covering a large cylinder with brown paper. He'll need to find the volume of the cylinder in order to determine how much paper he needs.

True
False

Answers

It is to true!!!!!!!!!!!!!!!!!!!!!!!!

HELP0ppppppppppppppp​

Answers

Answer:

C)

Step-by-step explanation:

in order to understand which triangle would lie on the given line we should figure out the slope of the given line first

remember that,

[tex] \displaystyle m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} [/tex]

from the graph let's take two points where the line passes i.e (0,0) and (4,6)

substitute:

[tex] \displaystyle m = \frac{6- 0}{ 4 - 0} [/tex]

simplify substraction:

[tex] \displaystyle m = \frac{6 }{ 4 } [/tex]

reduce fraction:

[tex] \displaystyle m = \frac{3}{ 2} [/tex]

now we need a triangle which tan ratio equal to the slope in that case we can consider the third triangle

[tex] \displaystyle \tan( \theta) = \frac{30}{20} [/tex]

reduce fraction:

[tex] \displaystyle \tan( \theta) = \frac{3}{2} [/tex]

since the tan ratio of the third triangle equal to the slope of the line

hence, our answer is c

What are the first five terms of the sequence defined by the given function?

f(n) = 2n − 8

A. 2, 8, 14, 20, 26

B. -6, -4, -2, 0, 2

C. 2, -4, -10, -16, -22

D. -6, -8, -10, -12, -14

Answers

Answer: B. -6, -4, -2, 0, 2

Step-by-step explanation: Use the attachment to help you with your answer.

Anyways, have an amazing day!

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