Question

Write 2log3+3log5-5log2 as a single logarithm​

Answer 1

Question:-

Write 2log3 + 3 log5 -5log2 as a single logarithm.

Answer:-

2log3 + 3log5 + 5log2

$= > log {3}^{2} + log {5}^{3} - log {2}^{5}$

$( \: since \: in \: n \: log_{a}x = log_{a} {x}^{n} )$

= log9 + log125 + log32

= log ( 9× 125 ) - log32

$( \: since \: log_{a}x + log_{a}y = log_{a}xy)$

= log1125 - log32

$= log \frac{1125}{32}$

$2log3 + 3log5 - 5log2 = log \frac{1125}{32}$

❄︎ Good luck ❄︎