Question

I need help with solving these two 2 problems

Given that log_a (2) = 0.301, log_ a (5) = 0.699, and log _a ( 6 ) = 0.778

find log_a(4)

and log_a(1/6)

I don’t understand how you are suppose to find the answer using the change of base formula

Answer 1

do you have any explanations or suggestions on how to begin to solve them?

Answer 2

\[\log_a 4 = \log_a 2^2 = 2\times \log_a 2 = ?\]

Answer 3

I have used the property
\[\log_a x^n = n\times \log_a x\]