Question

Log5(36)-Log5(9)

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Condense following logarithms.

Answer 1

Given:

The expression is:

`\log_5(36)-\log_5(9)`

To find:

The simplified form of the given expression.

Solution:

We have,

`\log_5(36)-\log_5(9)`

It can be written as:

`\log_5(36)-\log_5(9)=\log_5(36)/(9)`
`[\because \log_m(a)/(b)=\log_ma-\log_m b]`

`\log_5(36)-\log_5(9)=\log_54`

Therefore, the simplified form of the given expression is
`\log_54`.