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Channel: How can I write Log[a]/Log[b] in the form Log[b,a]? - Mathematica Stack Exchange
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Answer by Syed for How can I write Log[a]/Log[b] in the form Log[b,a]?

sol = First@ Solve[2^x + 2^{x + 4} + 2^{x + 3} == 3^x + 3^{x + 4} + 3^{x + 3}, x, Reals] // FullSimplifyx /. sol /. Log[a_]/Log[b_] :> Defer[Log[b, a]]-Log[3/2, 109/25]

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How can I write Log[a]/Log[b] in the form Log[b,a]?

I solve the equation $2^x + 2^{x + 4} + 2^{x + 3} == 3^x + 3^{x + 4} + 3^{x + 3}$. I triedSolve[2^x + 2^{x + 4} + 2^{x + 3} == 3^x + 3^{x + 4} + 3^{x + 3}, x, Reals] // FullSimplify{{x ->...

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