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bezimeni [28]
3 years ago
7

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

Mathematics
1 answer:
dexar [7]3 years ago
7 0

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.

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