erhardalicia erhardalicia
  • 07-10-2018
  • Mathematics
contestada

given the function f(x)=3^x, find the value of f^-1(27)

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sqdancefan
sqdancefan sqdancefan
  • 09-10-2018

This is asking you to solve the equation ...

... 27 = 3^x

You can use logarithms to find

... log(27) = x·log(3)

... log(27)/log(3) = x = 1.43136376.../0.47712125...

... x = 3

Or, you can use your knowledge of small cubes and match exponents.

... 3^3 = 3^x

... 3 = x

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