SOLUTION: How do I solve logarithms with square roots?
For example the value of logarithms with base √2 and number 8√2 equals to 7. But how to you get the final answer without
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Question 998758: How do I solve logarithms with square roots?
For example the value of logarithms with base √2 and number 8√2 equals to 7. But how to you get the final answer without a calculator?
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the value of logarithms with base √2 and number 8√2 equals to 7
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log(sqrt(2))of 8sqrt(2) = 7
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Write that as an exponential equation::
base = sqrt(2)
log = exponent = 7
result = 8sqrt(2)
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Exp. Eq:: (sqrt(2))^7 = 8sqrt(2)
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(2^(1/2))^7 = 2^3*2^(1/2)
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2^(7/2) = 2^(3 1/2)
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2^(7/2) = 2^(7/2)
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Cheers,
Stan H.
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Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
......change the base to base
...if log same, than
...since left and right side of equation sign are same, the statement is true
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