Alg II: Intro to Logarithms

Equivalent ExpressionsExponential Form to Logarithm

100

Which of the following expressions is equivalent to 

y = 8^x?

A. log_x8 = y

B. log₈x = y

C. log_y8 = x

D. log₈y = x

What is D. log₈y = x?

200

Write 2^x=3 as a logarithm

What is log₂3=x?

300

Write 4^x=125 as a logarithm

What is log₄125 = x ?

400

Write the following as a logarithm

7⁶=117,649

What is log₇117,649=6?

500

Solve for x 

5^x=81.2

Round to the nearest tenth.

What is 2.7?

Evaluating Logarithms

100

Evaluate

log₃27

What is 3?

200

Evaluate

log₅125

What is 3?

300

Evaluate

log₂(1/8)

What is -3?

400

Evaluate

log₇49 + log₆36

What is 4?

500

Evaluate

log₆₄(1/4) * log₆(1/216)

What is 1?

Change of Base

100

Approximate to the nearest tenth. 

log₆13

What is 1.4?

200

Approximate to the nearest tenth. 

log₂30

What is 4.9?

300

Approximate to the nearest tenth. 

log₅10.818

What is 1.9?

400

Approximate to the nearest tenth. 

log_4.612.5

What is 1.7?

500

Approximate to the nearest tenth. 

log₃54 + log₄111

What is 7.0?

Power Table

100

What number to the power of 2 is 64?

What is 8?

200

729 is 3 to what power?

What is the sixth power?

300

What number to the 5th power is 59,049?

What is 9?

400

What is 8⁴ + 6⁷?

What is 284,032?

500

Fill in the blank with an exponential expression. 

4⁵ - _{_______}= 512

What is 8³?

Equivalent ExpressionsLogarithm to Exponential Form

100

Which of the following expressions is equivalent to
y = log₇x?

A. x^y = 7

B. 7^y = x

C. 7^x = y

D. y^x = 7

What is B. 7^y = x?

200

What is the following logarithm as an equation?

log₁₄196 = x

What is 14^x = 196?

300

What is the following logarithm as an exponential?

log₈₁9 = 1/2

What is 81^1/2 = 9?

400

Rewrite in exponential form

log_b154 = a

What is b^a = 154?

500

Rewrite in exponential form. 

log_abcLMNO = xyz

What is abc^xyz = LMNO?