You can put this solution on YOUR website! Solve the logarithmic equation for x. (Round your answer to four decimal places.)
ln(x - 6) + ln(x + 7) = 1
:
Adding logs is multiply
ln((x-6)*(x+7)) = 1
:
FOIL
ln(x^2 + 7x - 6x - 42) = 1
ln(x^2 + x - 42) = 1)
exponent equiv
x^2 + x - 42 = e^1
which is
x^2 + x - 42 = 2.71828
x^2 + x - 42 - 2.71828 = 0
x^2 + x - 44.71828 = 0
use the quadratic formula is find x
x = -7.2058
x = 6.2058; only the positive solution can be used here
