SOLUTION: 2^(x+3)=3^x

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Question 982472: 2^(x+3)=3^x
Found 2 solutions by ikleyn, solver91311:
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!

You need to solve an equation

2%5E%28x%2B3%29 = 3%5Ex.

Rewrite it as

2%5E3.2%5Ex = 3%5Ex,

8 = 3%5Ex%2F2%5Ex,

%283%2F2%29%5Ex = 8.

Hence,

x = log%283%2F2%2C+8%29.


You can consider it as the final answer,  or you can rewrite it further

x = 1%2Flog%288%2C+%283%2F2%29%29 = 1%2F%28log%288%2C3%29+-+log%288%2C2%29%29 = 1%2F%28log%288%2C3%29+-+1%2F3%29.


Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!






















John

My calculator said it, I believe it, that settles it