assuming base 10,
log(3x-13) = log100 - logx
log(3x-13) = log(100/x)
3x-13 = 100/x
3x^2 - 13x - 100 = 0
(3x-25)(x+4) = 0
x = 25/3, since x = -4 is not allowed.
Solve the equation and check your solutions. Note any extraneous answers.
log(3x-13)=2 - log x
1 answer