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 $\log (c^2k^3)$.