Simplify lol (5) 9+ lo (5) 21-lo (5) 7

Question

asked May 18, 2022 6.4k views

1 Answer

Soktinpk · Answer 1 · 2022-05-21T18:21:38+0000

Given:

Consider the given expression is

$\log_59+\log_521-\log_57$

To find:

The simplified form of the given expression.

Solution:

We have,

$\log_59+\log_521-\log_57$

It can be written as

$=\log_5(9* 21)-\log_57$
$[\because \log_ax+\log_ay=log_a(xy)]$

$=\log_5(9* 21)/(7)$
$[\because \log_ax-\log_ay=log_a(x)/(y)]$

$=\log_5(9* 3)$

$=\log_527$

Therefore, the simplified form of the given expression is
$\log_527$ .