1 Write each equation in its equivalent exponential form a 3

1.) Write each equation in its equivalent exponential form

a.) 3 = log₂ 8  

b.) log₇ 1 =0

2.) Evaluate each expression without using a calculator.

a.) log₄ 64

b.) log₃ 1/9

c.) log₇ ( ln e)

Solution

1. a. 3= log₂8

       8= 2³

b. log₇1=0

   1=7⁰

2.a. log₄64 = log₄4³= 3 log₄4 = 3*1=3

b. log₃(1/9)= log₃3^-2=-2 log₃3=-2*1=-2

c. log₇ln e

ln e=1

log₇1