Answer:
(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
