Question

Evaluating Logarithms In Exercise, evaluate the logarithm without using a calculator.
log2 32

Answer 1

5

Explanation:

`log_2{32}`

write 32 in exponential form

32 = 2 times 2 times 2 times 2 times 2

32= 2^5

`log_2{32}`

`log_2{2^5}`

As per log property move the exponent before log

`log_2{2^5}`

`5log_2{2}`

both log base and log term are same , log_a(a)=1

`5log_2{2}`

`5(1)`

5