Question

Please help, thank you.

Answer 1

Explanation:

3ln(4)=2ln(x)

ln(64)=ln(x^2)

64=x^2

x=+-8

x=8

-8 is not a solution.

Answer 2

x =8

Explanation:

3 ln 4 = 2 ln x

Divide by 2

3/2 ln 4 = 2/2 ln x

3/2 ln 4 = ln x

Remember that 4 = 2^2

3/2 ln 2^2 = ln x

We know that ln x^a = a ln x

3/2 * 2 ln 2 = ln x

3 ln 2 = ln x

We know that ln x^a = a ln x

ln 2^3 = ln x

ln 8 = ln x

Raise each side to e

e ^ ln 8 = e^ ln x

8 = x