Question

If log2base 10 = 0.3010, then log32base10 is ?​

Answer 1

Answer

1.5050(approx.)

Answer 2

㏒₁₀32 = 1.5050.

Explanation:

Given:

㏒₁₀2 = 0.3010.

㏒₁₀32 = ?

An exponential function is the inverse of a logarithm function.

Exponential formula: ㏒ₐy = x ⇔ aˣ = y.

So, ㏒₁₀32 = ㏒₁₀2⁵

= 5 ㏒₁₀2

= 5 x 0.3010 [since ㏒₁₀2 = 0.3010]

= 1.5050.

㏒₁₀32 = 1.5050.

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