Answer:
x = 3
Step-by-step explanation:
Given in the question an equation,
[tex]2lne^{ln5x}=2ln15[/tex]
Step 1
[tex]e^{lnx}=x[/tex]
so,
[tex]2ln(5x)=2ln15[/tex]
Step 2
cancel 2 on both sides of the equation
[tex]ln{5x}=ln15[/tex]
Step 3
[tex]ln{5x}-ln15=0[/tex]
[tex]ln\frac{5x}{15}=0[/tex]
Step 4
[tex]ln\frac{x}{3}=0[/tex]
Step 5
[tex]e^{ln\frac{x}{3}}=e^{0}[/tex]
Step 6
x/3 = 1
x = 3(1)
x = 3
