Question

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

Answer 1

x = 3

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(5x)/(15)=0`

Step 4

`ln(x)/(3)=0`

Step 5

`e^{ln(x)/(3)}=e^(0)`

Step 6

x/3 = 1

x = 3(1)

x = 3