Asked by Terri

I'm suppose to solve
log(3)-27=x

I get 3^x=-27

I can't go any father correct?
Answered by Nina
Logarithm of a negative number is imaginary. If you try plotting y = log x, you'll see that the x values are all positive and infinitely approaches zero.
Answered by Terri
So does that mean x=3? (so 3x3x3=27)
Answered by Reiny
No, there is no solution, since log(any negative) is undefined.

For the equation to be true, you correctly stated that
3^x = -27

I suggest you look at the graph of
y = 3^x and see where the y value is -27.

http://www.wolframalpha.com/input/?i=plot+y+%3D+3%5Ex
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