Question

Identify the solution set of 3 ln 4 = 2 ln x.

Answer 1

8

Explanation:

Answer 2

x=8

Explanation:

3 ln 4 = 2 ln x.

We know that a ln b = ln b^a

ln 4^3 = ln x^2.

Raise each side to the base e

e^ln 4^3 = e^ln x^2

4^3 = x^2

64 = x^2

Take the square root of each side

±sqrt(64) = sqrt(x^2)

±8 = x

But x cannot be negative

x=8