SOLUTION: 4^7x = 7000

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Question 677744: 4^7x = 7000
Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4%5E%287x%29+=+7000

log%284%2C%287000%29%29+=+7x

7x+=+log%284%2C%287000%29%29

x+=+log%284%2C%287000%29%29%2F7

x+=+0.71184173461872

Exact Solution:x+=+log%284%2C%287000%29%29%2F7

Approximate Solution:x+=+0.71184173461872

If you must use the approximate solution, then be sure to round according to the instructions given.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
4^7x = 7000
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Assuming 7x is the exponent:
7x*log(4) = log(7000)
x = log(7000)/(7*log(4))
x =~ 0.912367