SOLUTION: What is the answer for 3 to the power of x+1 = 2 raise to the power of 2x + 1?

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Question 394103: What is the answer for 3 to the power of x+1 = 2 raise to the power of 2x + 1?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
What is the answer for 3 to the power of x+1 = 2 raise to the power of 2x + 1?
3^(x+1)=2^(2x+1)
(x+1)log3=(2x+1)log2
xlog3+log3=2xlog2+log2
xlog3-2xlog2=log2-log3
x(log3-2log2)=log2-log3
x=(log2-log3)/(log3-2log2)
ans:x=1.409
check:3^(1.409+1) = 2^(2*1.409+1)
14.105=14.104 (rounded to 3 decimal places)