How do you use the Change of Base Formula and a calculator to evaluate the logarithm log_5 18?

1 Answer
Oct 31, 2015

log_{5}18=frac{ln(18)}{ln(5)} or log_{5}18=frac{log_{10}(18)}{log_{10}(5)}

Explanation:

log_{a}b=frac{log_{c}(b)}{log_c(a)}
for all positive real numbers a,b and c.

In this case, a=5, b=18, c=e or c=10