Solve the equation for x. 3 In (x) + 2 In (4) = In (128)

x=2

Step-by-step explanation:

3 ln (x) + 2 ln (4) = ln (128)

a ln (b) = ln b^a

In (x^3) + In (4^2) = In (128)

In (x^3) + In (16) = In (128)

ln a + ln b = ln (ab)

In (16x^3) = In (128)

raise each side to the power of e

e^ In (16x^3) = e ^In (128)

e^ ln cancels out

(16x^3) = (128)

divide by 16

(16x^3) / 16 = (128) / 16

x^3 = 8

take the cube root on each side

(x^3) ^1/3 = 8^ 1/3

x = 2