How do you use the Change of Base Formula and a calculator to evaluate the logarithm log_5 3?

1 Answer
Gió
Jul 19, 2015

I found: log_5(3)=0.6826

Explanation:

Using the change of base formula and choosing the natural log (log_e=ln) (that can be evaluated using a pocket calculator) you get:
log_5(3)=ln(3)/(ln(5))=0.6826

Remember that the change of base works as:
log_a(b)=log_c(b)/(log_c(a) where in our case c=e

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