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Divide by the coefficient to isolate the exponential, then take logarithms of both sides. Since log(bˣ) = x·log b, that gives x = log(c/a) / log b.
Exponential equation
a·bˣ = c ⇒ x = log(c/a) / log(b)
2ˣ = 32, so x = 5.
Because bˣ is positive for every real x when b is positive, so a negative or zero ratio has no real solution.