You can
put this solution on YOUR website!
Because logarithms can only be taken of positive numbers, and
a logarithm equation just might be converted to an equation that
has a 0 or negative solution.
log(13 – 5x) = log(1 – x)
We use the principle that we convert log(A) = log(B) to A = B
13 - 5x = 1 - x
-4x = -12
x = 3
But when you check it you find that this is an extraneous solution:
log(13 – 5(3)) = log(1 – 3)
log(13 - 15) = log(-2)
log(-2) = log(-2)
This may look like it checks except for the fact that logs of negative
numbers do not exist in real numbers. So there is no solution in
real numbers.
Edwin
