Question

Simplify each of the following log3^27 + 2log3^9 - log3^54

Answer 1

Answer:

The result after simplification will be:

$-9\ log3$

Step-by-step explanation:

Given expression for simplification is:

$log3^{27}+2\ log3^9-log3^{54}$

Hence as we know the formula of logarithm that has been shown below:

$loga^b=b\ loga$

Hence the above expression will be written as:

$=27\ log3+2\cdot 9\ log3-54\ log3\\=27\ log3+18\ log3-54\ log3$

Taking out the common factor that is:

$log3$

$=(27+18-54)log3\\=-9\ log3$