What is the true solution to 2 l n e Superscript l n 5 x Baseline = 2 l n 15
x = 0
x = 3
x = 9
x = 15

  (b)  x = 3

Step-by-step explanation:

The equation can be simplified by using the fact ...

  ln(e^x) = x

This gives ...

  2·ln(5x) = 2·ln(15)

Comparing arguments, we see ...

  5x = 15

  x = 3 . . . . . divide both sides by 5

If you want to check this, you can find the numbers at each stage of evaluation.

  2·ln(e^(ln(5·3))) = 2·ln(15)

  2·ln(e^2.70805) = 2·2.70805

  2·ln(15) = 5.41610

  2·2.70805 = 5.41610 . . . . . true