Question

Log √3 base a=1/6, find the value of a, A.16 B.27 C. 19 D.4

Answer 1

Answer:

hope this helps you

please make me brain list

Answer 2

The given question is we have to find the value of a.

The expression given here is

Log √3 base a=1/6

$log \sqrt{3} base \: a = \frac{1}{6}$

This can be solved as

${a}^{ \frac{1}{6} } = \sqrt{3}$

taking √3 can be written as

${a}^{ \frac{1}{6} } = {3}^{ \frac{1}{2} }$

The power of a will be moved to 3 we get

$a = { ({3}^{ \frac{1}{2} }) }^{6}$

On cancelling the powers we get

$a = {3}^{3}$

The cube of 3 is

${3}^{3 } = 27$

Therefore, the value of log √3 base a is =1/6.

The value of a is 27.

Hence, therefore the final answer is option B. 27

# spj2