Question

2. The log3 20 can be written as

Answer 1

Answer:

$2\log _32+\log _35$

Step-by-step explanation:

Given: $\log _3 20$

To find: the correct option

Solution:

The logarithm function is the inverse function to exponentiation function.

Domain of a logarithmic function = set of real numbers greater than zero Range of a logarithmic function = set of real numbers

$\log _3 20=\log _3(2^2\times 5)$

As $\log _a(xy)=\log _ax+\log _ay$,

$\log _3 20=\log _32^2+\log _35$

As $\log _ax^y=y\log _ax$ ,

$\log _3 20=\log _32^2+\log _35\\=2\log _32+\log _35$