SOLUTION: i need help on solving for the logarithm: e^(x+2)=4^(x)

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Question 377862: i need help on solving for the logarithm:
e^(x+2)=4^(x)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
take the natural log of both sides
ln%28e%5E%28x+%2B+2%29%29+=+ln%284%5Ex%29
x+%2B+2+=+x%2Aln%284%29
x+%2B+2+=+1.3863x
.3863x+=+2
x+=+5.1774
check answer:
e%5E%28x+%2B+2%29+=+4%5Ex
e%5E7.1774+=+4%5E5.1774
1309.4991+=+1309.4997
close enough