Question

Solving Logarithmic equations

Answer 1

This logarithmic equation
\[\log _{2}(x-4)=6\]
can be rewritten as
\[2^{6} = x-4\]
You can think of a log() operation as asking, "what power should I take the base to in order to get the result inside the parentheses?" In this case, the answer is 6 and the base is 2, which means, if we take 2 to the power of 6, we get the result (x-4)
We can calculate
\[2^{6} = 64\]
So, x-4 = 64
From here, it should be simple to solve for x :)