laws of logarithms

Question

Use the Laws of logarithms to rewrite the expression

log3(x3 3√y15)

in a form w4ith no logarithm of a product, quotie4nt or power.

After rewriting we have

log3(x3 3√y15)=Alog3x+Blog3y

Answer 1

log₃[(x³)(y¹⁵)^1/3]

=log₃(x³) + log₃(y¹⁵)^1/3

3log₃x + 5log₃y

A=3 B=5

the problem as written is a little ambiguous.

the above solution assumes you meant to write the cube root of (y¹⁵), which seems most likely

but maybe you meant 3 times the square root of y¹⁵?

or 3 times (square root of y)¹⁵ ?

or (the cube root of y)¹⁵?

if the correct solution is not A=3 & B=5, the ambiguity in the problem could explain the difference