3^x= 3*2^x solve this equation

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mhanifa

College

3^x= 3*2^x
solve this equation

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(Based on todays review)

palhunor5

Verified answer
Hi!
Here it is!
Hope it helps! ❤️
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vintechnology

Verified answer

The resulting equation is x = $log_{3/2} 3$
3ˣ = 3 × 2ˣ
divide both sides by 2ˣ
3ˣ / 2ˣ = (3 × 2ˣ) / 2ˣ
3ˣ / 2ˣ = 3
Note 3ˣ / 2ˣ = (3 / 2)ˣ
log both sides
Therefore,
$log_{3/2}$ ( 3 / 2)ˣ = $log_{3/2}3$
Finally,
x = $log_{3/2} 3$
learn more on equation here: brainly.com/question/19520931?referrer=searchResults
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