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