Question

Condense the logarithm

2 log c + 3 log k​

Answer 1

Given:

The expression is

`2\log c+3\log k`

To find:

The value after condense the logarithm.

Solution:

We have,

`2\log c+3\log k`

Using properties of logarithm, we get

`=\log c^2+\log k^3`
`[\because \log x^n=n\log x]`

`=\log (c^2k^3)`
`[\because \log (ab)=\log a+\log b]`

Therefore, the required value is
`\log (c^2k^3)`.