How do you simplify e^3lnx^5+4lny^2?

1 Answer
Apr 12, 2018

x^6+8ln(y)

Explanation:

By the laws of logarithms:

a^(log_a(b))=b

log_a(b^c)=clog_a(b)

e^(3ln(x^2)+4ln(y^2)

Rewriting:

(e^(ln(x^2)))^3+8ln(y)

(x^2)^3+8ln(y)

x^6+8ln(y)