Respuesta :

ShyzaSling

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