SOLUTION: Solve for x: 2 x 3^x =7 x 5^x

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Question 173508: Solve for x:
2 x 3^x =7 x 5^x
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
2+%2A+3%5Ex+=7+%2A5%5Ex
2%2F7+=+5%5Ex%2F3%5Ex
2%2F7+=+%285%2F3%29%5Ex
log%282%2F7%29+=+x+%2A+log%285%2F3%29
-0.5441+=+x+%2A+0.2218
-2.453+=+x
check your answer
Does 2+%2A+3%5E%28-2.453%29+=+7+%2A+5%5E%28-2.453%29?
2%2F%283%5E%282.453%29%29+=+7%2F%285%5E2.453%29?
0.1351+=+0.1351
close enough !