What is the solution to the equation?
1/2ln(x+37) = ln(x^2 -25) - ln(x+5)
= 1/2 ln(x+37) = ln {(x^2-25)/(x+5)}
1/2 ln (x+37)= ln (x-5)
ln (x+37)1/2 =ln(x-5)
sqrt (x+37 ) = x-5
x+37 = x^2 -10x+25
x^2 -11x-12 = 0
(x-12)(x+1) = 0 x = 12 or -1 (throw out....would result in ln of negative number)
= 1/2 ln(x+37) = ln {(x^2-25)/(x+5)}
1/2 ln (x+37)= ln (x-5)
ln (x+37)1/2 =ln(x-5)
sqrt (x+37 ) = x-5
x+37 = x^2 -10x+25
x^2 -11x-12 = 0
(x-12)(x+1) = 0 x = 12 or -1 (throw out....would result in ln of negative number)