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

x=8

Step-by-step 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

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.