To solve exponential equations where the variable appears in both the base and exponent, express both sides with the same base and compare the exponents. For the equation (m-1)^m = 8, rewrite 8 as 2^3, then express 2 as 3-1 to get (m-1)^m = (3-1)^3, which yields m = 3 by comparing both sides.
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Solve - (m- 1) m = 8Añadido:
m - 1 to the power m equal to 8.
Solution.
m - 1 to the power m equal to 8.
m - 1 to the power m equal to 2 to the power 3.
Now, 2 can be written as 3 - 1.
m - 1 equal to 3 - 1 to the power 3.
Comparing both sides.
Now, m to the power m m 3 to the power 3.
m equal to 3. Answer.
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