Question

Evaluate the following by converting into exponential form:

log₃₂ 2

Answer 1

Given: log₃₂ 2

Step-wise calculation:

Let x = log₃₂ 2.

By definition of logarithm:

32^x = 2

Write 32 as 2⁵:

(2⁵)^x = 2 

⇒ 2^5x = 2¹ 

⇒ 5x = 1

⇒ `x = 1/5`

`log_(32) 2 = 1/5`, equivalently `32^(1/5) = 2`.