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) About Me  (Show Source):
You can put this solution on YOUR website!
log%288%2C4%29%22%22=%22%22x

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

2%2F3 = x

Answer: log%288%2C4%29%22%22=%22%22x%22%22=%22%222%2F3

Edwin

Answer by MathLover1(20850) About Me  (Show Source):