Respuesta :

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

Assuming your original equation is

[tex]2ln(e^{ln(5x)})=2ln(15)\\[/tex]

by the logarithm property [tex]a*log(b)=log(b^a)[/tex] this equation becomes

[tex]ln(e^{2ln(5x)})=ln(225)[/tex]

This means

[tex]e^{2ln(5x)}=225[/tex]

Take the natural logarithm of both sides and get:

[tex]2ln(5x)=ln(225)[/tex]

By the same lograthim property [tex]a*log(b)=log(b^a)[/tex], the left side is modified:

[tex]ln(25x^2)=ln(225)[/tex]

which gives

[tex]25x^2=225[/tex]

or

[tex]x=\sqrt{\frac{225}{25} }[/tex]

[tex]\boxed{x=3}[/tex]

Answer:

x=3

Step-by-step explanation:

ACCESS MORE
EDU ACCESS