Respuesta :

Gabriel911

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

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