To solve exponential equations like 4^x/6 = 20, apply logarithms to both sides and use logarithm properties (log(a^b) = b*log(a), log(ab) = log(a) + log(b), log(a)/log(b) = log_a(b)) to transform the equation into a solvable algebraic form, then simplify using prime factorization and the identity a^(log_a(b)) = b to find the solution.
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