Seudónimo Seudónimo
  • 22-01-2021
  • Mathematics
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Suppose log8(3)=a and log8(5)=b. What is log 8(45) in terms of a and b?

Suppose log83a and log85b What is log 845 in terms of a and b class=

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jimthompson5910 jimthompson5910
  • 22-01-2021

Answer:  2a+b

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Work Shown:

[tex]\log_8(3) = a\\\\\log_8(5) = b\\\\\log_8(45) = \log_8(3*3*5)\\\\\log_8(45) = \log_8(3)+\log_8(3)+\log_8(5)\\\\\log_8(45) = a+a+b\\\\\log_8(45) = 2a+b\\\\[/tex]

The log rule used was log(x*y) = log(x)+log(y).

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