SOLUTION: Solve the equation 4^x=7.give your answer to 3 significant figure.

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Question 1159634: Solve the equation 4^x=7.give your answer to 3 significant figure.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation 4^x=7.
give your answer to 3 significant figure.
:
4%5Ex+=+7
using natural logs
ln%284%5Ex%29+=+ln%287%29
x*ln(4) = ln(7)
x = ln%287%29%2Fln%284%29
use your calc
x = 1.404
;
:
Check with your calc: 4^1.404 = 7.000