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* 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`.