Question

If log x + log (x -3) = 1 then x =​

Answer 1

Step-by-step explanation:

log x + log (x-3) = 1

we have the formula: log(ab) = log a + log b

so, the given equation can be expressed as:

log(x(x-3)) = 1

x(x-3)= e^1

x^2-3x = e

for further steps,see the attached file

Answer 2

Step-by-step explanation:

log x + log ( x - 3 ) = 1

log ( x × ( x - 3 ) ) = 1

log ( x^2 - 3x ) = 1

x^2 - 3x = 10^1

x^2 - 3x = 10

x^2 - 3x - 10 = 0

x^2 - 5x +2x - 10 = 0

x(x - 5) + 2(x - 5) = 0

(x + 2)(x - 5) = 0

x = -2 or 5

Negative values in log not defined so the value is always positive.

Therefore, x = 5