Question

Which of the following is equivalent to 2 ln e^ln 5x = 2 ln 15?

Answer 1

Answer:

x  = 3

Step-by-step explanation:

Given in the question an equation,

$2lne^{ln5x}=2ln15$

Step 1

$e^{lnx}=x$

so,

$2ln(5x)=2ln15$

Step 2

cancel 2 on both sides of the equation

$ln{5x}=ln15$

Step 3

$ln{5x}-ln15=0$

$ln\frac{5x}{15}=0$

Step 4

$ln\frac{x}{3}=0$

Step 5

$e^{ln\frac{x}{3}}=e^{0}$

Step 6

x/3 = 1

x = 3(1)

x = 3