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

User Irishka
by
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1 Answer

2 votes

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.

User Soktinpk
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5.1k points