SOLUTION: Log10x=-2

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Question 1196716: Log10x=-2
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Use the basic definition of logarithms as exponents:

log%2810%2Cx%29=-2 --> x=10%5E%28-2%29=1%2F10%5E2=1%2F100

Explanation....

The logarithm is the exponent, so "log base 10 of x equals -2" means -2 is the exponent. And clearly in that statement the base is 10, so x is the base 10, raised to the power of the exponent -2: x=10%5E%28-2%29