How do you use the Change of Base Formula and a calculator to evaluate the logarithm log424?

2 Answers
Jun 12, 2018

Below

Explanation:

The change of base formula is given by: logab=log10blog10a

Looking at log424, we can tell that a=4 and b=24.

log424=log1024log104=2.292

Jun 12, 2018

y=2.29248(5 dps)

Explanation:

from first principles

y=log424

4y=24

take logs to both sides ( we will use base 10)

log4y=log24

ylog4=log24

y=log24log4

y=2.29248125

note: some calculators now have a function that can evaluates logarithms in any base