y = log xIf y = 10, then what is x?

Expert Answers
hala718 eNotes educator| Certified Educator

Given the function y = log x

Given y= 10  and we need to find the values for x.

We know that from logarithm properties that :

log x = log10 x  ( if the base for the logarithm is not presented, then it is 10 .

==> y= log10 x

Now given y = 10 , we will substitute:

==> 10 = log10 x

Now we will re-write into the exponent form:

==> 10^10 = x

==> x= 10^10

==> 10 = log10 10^10

justaguide eNotes educator| Certified Educator

We are give that y = log 10.

Now we don't know the base of the logarithm used here, though log usually denotes a base of 10.

So y = log x = 10

Raise the two sides to the base 10.

=> 10^( log x) = 10^10

=> x = 10^10

Therefore x = 10^10

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