SOLUTION: solve 10^(x-3)=1/100 using logarithms

Question 804807: solve 10^(x-3)=1/100 using logarithms
Found 2 solutions by erica65404, stanbon:
Answer by erica65404(394) (Show Source): You can put this solution on YOUR website!
for this problem we want to make the numbers equal.

we want both of the numbers to be 10.

so we replace with

now you want to log both sides.

the eponent rule with logarithms says that logx^2 = 2logx

divide each side by log10

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve 10^(x-3)=1/100 using logarithms
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Take the log of both sides::
(x-3)log(10) = log(10^(-2))
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(x-3) = -2
x = 1
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Cheers,
Stan H.
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