Question

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

Answer 1

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

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

$=\log_5\dfrac{9\times 21}{7}$       $[\because \log_ax-\log_ay=log_a\dfrac{x}{y}]$

$=\log_5(9\times 3)$

$=\log_527$

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