Use the Laws of logarithms to rewrite the expression

Question

log₂ (x¹⁹y⁸)

 

in a form with no logarithm of a product, quotient or power.
After rewriting we have 

log₂(x¹⁹y⁸)=Alog₂x+Blog_2y

 

with the constant A=____

and the constant B=____

Answer 1

log₂a^b = b log₂a

 

A = 19

B = 8