Question

Solve for x: log x + log (x + 48) = 2

Answer 1

log(x^2 + 48x) = 2
Just log means its base is 10, which is why
logbase10(x^2+48x) = 2
Converting it into exponential form
x^2 + 48x = 10^2
x^2 + 48x = 100
x^2 + 48x - 100 = 0
(x + 50)(x - 2) = 0

x = -50, 2

Answer 2

Okay :) thanks! it kinda makes sense. Im not good at math, but you did put it out easily. Im alittle confused tho on y theres two answers.

Answer 3

Oh! It can only be 2, because you can't have a negative number in logarithms, ex. log(-50). Sorry I forgot that.

Answer 4

ah thanks! :) yes i see now.