Solve for x Solve for x log x log x 15 2Solutionlogx log

Solve for x.

Solve for x. log x + log (x + 15) = 2

logx + log(x +15) = 2

Applying log property: logA +logB = log(A*B)

log(x(x+15)) =2

Applying log property: loga(X) =Y ---> X = a^Y

x(x+15) = 10^2

x^2 +15x -100 =0

x^2 + 20x -5x -100 =0

x(x +20) -5(x +20) =0

(x -5)(x +20) =0

x = 5 and x =-20

We neglect -ve value. So, x =5 ( Ans)