Proofing Logarithms: a^(log(b))=b^(log(a))

Thread starter eric123
Start date Feb 13, 2010
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Logarithms

Feb 13, 2010

eric123

Does anyone know how to proof the following:

a^(log(b))=b^(log(a))

for a,b>0

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Feb 13, 2010

Mark44

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Let x = a^{log b} and y = b^{log a}

Using the rules of logarithms, show that log x = log y, hence that a^{log b} = b^{log a}

Feb 14, 2010

eric123

thanks

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