Question

2- log 6-log 9 In condensing

Answer 1

Answer:

$\log(150)$

Step-by-step explanation:

We want to rewrite the following as a single logarithm:

$2 - log(6) - log(9)$

We introduce logarithm in the first term to get:

$2 \log(10) - \log(6) - \log(9)$

Recall that:

$log(a) - log(b) = \log \frac{a}{b}$

We apply this property to get:

$2 log(10) - log( \frac{6}{9} )$

This gives:

$log( {10}^{2} ) - log( \frac{6}{9} )$

$log( {100}) - log( \frac{2}{3} )$

$log( \frac{100}{ \frac{2}{3} } ) = log( \frac{300}{2} ) = log(150)$