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

Question

375 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-12T12:54:20

#x^6+8ln(y)#

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)#