Exponential Equations and Logarithms

Solve the equation for x

• 1.6023

• 0.7122

• 0.6477

• 1.544

Convert log₈(x+2)=3 to exponential form.

• 8^(x+2)=3

• 3^(x+2)=8

• 8³=x+2

• 3⁸=x+2

Convert 10^(x+5)=100 to logarithmic form.

• log₁₀₀=x+5

• log(x+5)=100

• log(100)=x+5

• log_(x+5)(100)=10

Convert 2^x+6=10 to logarithmic form

• log₄(x)=2

• log₂(4)=x

• log₂(10)=6

• log₂(x)=4

Evaluate the following logarithm:

log₃27

• 3

• 2

• -3

• ¹/₃

Evaluate the following logarithm:

log₄16

• 1

• -2

• 2

• ¹/₂

Evaluate the following logarithm:

log₅5

• 1

• 0

• -1

• ¹/₂

Write log_b(xy) as two logs

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)