Question

log₃₂ x = 0.8, then the value of x is _______
1. 25.6
2. 16
3. 10
4. 12.8

Answer 1

Correct Answer - Option 2 : 16

Given:

log32 x = 0.8

Concept Used:

If log_ax = n is given

Then, x = aⁿ

Calculation:

In log32 x = 0.8

The value of a = 32

The value of n = 0.8

Then, x = (32)^0.8

⇒ x = (2⁵)^0.8

⇒ x = 2^5 × 0.8

⇒ x = 2⁴ = 16

∴ The value of x is 16.