SOLUTION: What is the formula for S= C^1-r for r

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Question 145800This question is from textbook college algebra blitzer
: What is the formula for S= C^1-r for r This question is from textbook college algebra blitzer

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
I'm presuming you mean: S=+C%5E%281-r%29

Take the log of both sides (doesn't matter what base)

log%28S%29=log%28C%5E%281-r%29%29

Since we know that log%28b%2Cx%5En%29=n%2Alog%28b%2Cx%29, we can say:

log%28S%29=%281-r%29log%28C%29

Divide both sides by log%28C%29

log%28S%29%2Flog%28C%29=1-r

Add -1 to both sides

log%28S%29%2Flog%28C%29-1=-r

Multiply both sides by -1

r=1-log%28S%29%2Flog%28C%29