4log(x) x + 3log(y)
The power rule of logarithms states:
log(4)^X = Xlog(4)
The product rule of logarithms states:
log(x) + log(y) = log(xy)
Rewrite each logarithm using the power rule of logarithms:
4log(x) = log(x)^4
3log(y) = log(y)^3
log(x)^4 + log(y)^3
Combine them using the product rule of logarithms:
log(x)^4 + log(y)^3 = log(x^4y^3)
Answer:
log(x^4y^3)
