SOLUTION: log 4 base 8

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Question 680759: log 4 base 8
Found 2 solutions by Edwin McCravy, MathLover1:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!


By the definition of logarithms, that is equivalent to 
the exponential equation:

 4 = 8x

Since 4 = 2² and 8 = 2³ we can substitute these for 4 and 8

 22 = (23)x

Multiply expomemts on the right to remove parentheses:

 22 = 23x

Since the base 2 is the same on both sides and is positive
and not equal to 1, we can equate the exponents:

 2 = 3x

 = x

Answer: 

Edwin
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
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