Question

Solve the equation for x, accurate to three decimal places: (log₂x)² + 7log₂x + 12 = 0.

Answer 1

The equation is .

Let, .

Then, the equation is .

Solve the quadratic equation for t.

By factor by grouping.

Factor :

Apply zero product property.

.

Replace t with .

.

Apply power property of logarithm : .

Apply formula : a^{- b} = 1/a^b.

.

The solution  is .