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December 21, 2014

December 21, 2014

Posted by **jh** on Wednesday, February 10, 2010 at 12:11am.

a) Find x where f(x) = 1/27.

b) Estimate the value of x where

f(x) = 24.

So,

a) f(x) = 3^x

f(1/27) = 3^1/27

b) f(x) = 3^x

f(24) = 3^24

Don't know how to solve them :( Please Help!!

- Precalculus -
**drwls**, Wednesday, February 10, 2010 at 1:20ama) If 3^x = 1/27, then x = 1/3

Check it out: does (1/3)^3 = 27?

b) They are NOT asking for f(24) They are asking for the value of x for which f(4) = 3^x = 24. You seem to be confused by the function notation.

If f(x) = 3^x = 24, then

x log 3 = log 24

x = log 24/log 3 = 1.38021/0.47712

= 2.8928

Check: 3^2.8928 = 24.000

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