Answer:
4
Step-by-step explanation:
solving equation 1
- log125 base 5√5=x
- [5√5=√(25×5)=√125]
- log125 base 125=x
- [From one of the principles of logarithm " logA base a =1]
- therefore, log125 base 125=1
- x=1
solving equation 2
- log 64 base 2√2=y
- [2√2=√(4×2)=√8]
- log 64 base√8=y
- 64=(√8)^y
- 64=8^(½y)
- 8²=8^(½y)
- (8 cancels in both equations and I evaluate the powers figures)
- 2=½y
- y=2×2=4
the product of x and y=x•y=1×4=4
