Log3(x^2 − 5x − 9) = 3
By definition, 3^Log3(n) = n
Raise 3 to the power on both sides:
x^2 - 5x - 9 = 3^3 = 27
x^2 - 5x - 36 = 0
(x-9)(x+4) = 0
x = 9 or -4
Check:
9^2 - 5*9 - 9 = 81 - 45 - 9 = 27
(-4)^2 - 5*(-4) - 9 = 16 + 20 - 9 = 27
Log3(27) = 3
because 3^3 = 27
Solve the logarithmic equation for x. Log3(x^2 − 5x − 9) = 3
I Have no idea
1 answer
2 answers