To solve logarithmic equations like log₅(x) = -2, exponentiate both sides with the base of the logarithm (5), which leverages the inverse relationship between exponential and logarithmic functions; since 5^(log₅(x)) simplifies to x, the equation becomes x = 5⁻² = 1/25.
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EXPONENTIATION to Solve log₅(x) = -2 (Using INVERSE Functions! 🔄 which UNDO Each Other!)Added:
Another way to think of it is to exponentiate both sides.
5 to the log base 5 of x = 5^(-2) which is 1/25. And then 5 to the x and log base 5 of x are inverse functions. This simplifies to x. They undo each other.
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