log base 27 to the power 9+ log base 8 to the power 4
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(1)log27(9) can be interpreted as " 27 to what power is equal to 9 . Since 2723=32=9,log27(9)=23 . As has already been pointed out, log27(9) is the exponent needed on 27 to get 9. It is the solution to 27x=9 .
(2)Rewrite as an equation. Rewrite log8(4)=x log 8 ( 4 ) = x in exponential form using the definition of a logarithm. If x and b are positive real numbers and b does not equal 1 , then logb(x)=y log b ( x ) = y is equivalent to by=x b y = x .
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