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George Jones

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and then

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jedishrfu

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You tell us, George gave you a hint.and then

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OK by this method I got a=20 b=38 c=√(11)-25You tell us, George gave you a hint.

Then they are in power of log₃7,log₇11 and log₁₁25.How to solve these powers

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SammyS

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The problem states that a, b, and c are positive. The value you give for c, ##\ \sqrt{11\,}-25\,,\ ## is negative.OK by this method I got a=20 b=38 c=√(11)-25

Then they are in power of log₃7,log₇11 and log₁₁25.How to solve these powers

Moreover, as it turns out, a, b, and c are all irrational. Fortunately, you do not need to solve for any of them to solve this problem.

Here is a hint that's different than the one given by George Jones.

Notice that ##\displaystyle \ X^{Y^ 2}=X^{Y\cdot Y}=\left(X^Y\right)^Y \ ##

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