solve for x:

(log₁₀x)² - (log₁₀x) - 6 =0

i have solved the answer as follows:

let log₁₀x = y

therefore, y² - y - 6 = 0

y² - 3y + 2y - 6 = 0

y(y - 3) + 2(y - 3) = 0

y + 2 = 0 or y - 3 =0

y = -2 or y = 3

thus, log₁₀x = -2 or log₁₀x = 3

10^-2 = x or 10³ = x

x = 0.01 or x = 1000

is my solution right, or are there more values of x??? plzzz tell....

paradox xyz cool , 15 Years ago

Grade 11