SOLUTION: I cannot figure out how to get this problem started. "Solve for x: 16^(2x+3)=64^(x+2)"

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Question 443261: I cannot figure out how to get this problem started.
"Solve for x: 16^(2x+3)=64^(x+2)"
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
Recognize that 4^2 = 16 and 4^3 = 64. Then:
4%5E2%5E%282x%2B3%29+=+4%5E3%5E%28x%2B2%29
Use the product rule:
4%5E%282%2A%282x%2B3%29%29+=+4%5E%283%28x%2B2%29%29
4%5E%284x%2B6%29+=+4%5E%283x%2B6%29
Take the log(base4) of both sides:
+4x%2B6+=+3x%2B6
highlight%28x+=+0%29