Question

Solve the following exponential equations (√3)^x =27

Answer 1

Question:

Solve this exponential question :-

${( \sqrt{3}) }^{x} = 27$

Answer:

$The\: value\:of\:\underline{ \: \underline{ \: \sf\pink{x = 6} \: } \: }$

Step-by-step explanation:

$\implies {( \sqrt{3}) }^{x} = 27$

$\implies {( \sqrt{3}) }^{x} = {( \sqrt{3}) }^{6}$

Here the bases are equal,

Therefore the bases can be equated.

$\implies \boxed{\bold{x = 6}}$