Joshua T.

asked • 08/01/15

Find the x value - 4^x = 6

4x = 6
 
What is the method to find x?

Mark M.

Do you know logarithms?
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08/01/15

Joshua T.

Yup it was from a log question.
 
Log46 = x (Can use the calc. function but if manually how?)
4x=6
 
 
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08/01/15

Michael J.

If you have a logarithm question that has 10 as the base of x, you can do it manually.  This is because 10 is the most well-known and easiest number to work with.  For example,
 
 
10x = 100000
 
What does x equal to?  In other words, 10 raised to what power gives you 100000?
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08/01/15

Joshua T.

105?
 
then
 
what about 4x =6
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08/02/15

1 Expert Answer

By:

Daniel P. answered • 08/02/15

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Harvard-Westlake and USC Grad - Math/C.S./Test Prep - (15 yr. EXP)

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1. Take the log of both sides (Doesn't matter what base, as long as all the bases are the same). -> log (4^x) = log (6)
2. Using the logarithmic power rule you get: x*log(4) = log(6)
3. Divide both sides by log(4): x = log(6)/log(4)
4. x ≈ 1.29
 
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