Question

Find the logarithm of the number 25 with base 8

Answer 1

$\log_8 25 = \log_{2^3} 5^2 = \frac{2}{3} \log_2 5 =1.547952063...$

Answer 2

Formula :- loga base b =loga / log b

1st step )log25 base 8=log25/log8

Formula :-

log a^m =m log a


log25/log8 = log 5^2/log 2^3

2log5/3log2

2/3*log5/log2

log2=0.3
log5=0.7

2/3*0.7/0.3

=1.55 approx

hope helped ★