SOLUTION: Find x, y, or b log 4 ^x = -3

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Question 4553: Find x, y, or b
log 4 ^x = -3
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
I don't see any y or b in this, so I guess we are just solving for x.

By the law of logarithms log+%28b%2C+x%5En%29+=+n+%2Alog%28b%2C+x%29
So, log+%2810%2C+4%5Ex%29+=+-3+
x+%2Alog+%2810%2C+4%29+=+-3

Divide both sides by log+%2810%2C+4%29+
x+=+%28-3%29%2F+%28log+%2810%2C+4%29%29+, or approximately -4.983

R^2 at SCC