Question

3^x= 3×2^x
Solve it please.​

Answer 1

Hey XxValtAoixX!

Here's your solution~

$\boxed{ \mathfrak { Answer \: with \: Explanation \downarrow}}$

$\sf 3 {}^{x} = 3 \times 2{}^{x}$

Firstly, Divide both sides of given equation by $\sf2^{x}$

$\sf \longmapsto ( \frac{3}{2} )^{2} = 3$

Now, it's the time to take the Logarithm(LOG) of the both sides in the given Equation:(According to your question)

$\sf \longmapsto \:x = log_{ \frac{3}{2} }(3)$

$\sf \longmapsto \: x = log_{ \frac{3}{2} }(3)$

$\sf \longmapsto x = 2.70951$

So,The Answer is :

$\boxed{\sf { \: x = log_{ \frac{3}{2} }(3) }}$

OR In Decimal:

$\boxed{\sf x = 2.70951}$

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