simplify the logarith

Question

Simplify the logarithm log₂  (64).  

 

A) 6

B) 64

C) 62

D) 32

 

What is the solution..? please help

 

Answer 1

Carlos,

 

Remember to use the change of base formula: log_an= log_bn / log_ba

 

So, log₂ (64) = log₁₀ (64) / log₁₀ (2)

 

Using a calculator, log₂ (64) = 1.8 / 0.3 = 6

 

The answer is A.

 

Hope it helps.