Question

How do you evaluate log35 (8) using the change of base formula? Thanks!

Answer 1

Use the change of base formula:
\[\log_a x = \frac{\log_b x}{\log_b a}\]

So if you have a calculator that will do common logarithms, usually written \(\log\) but meaning \(\log_{10}\), you could do
\[\log_{35} x = \frac{\log_{10} x}{\log_{10} 35}\]