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Find the exact solution to the equation. 5^(6-2x) = 25
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5 votes
Find the exact solution to the equation. 5^(6-2x) = 25

User Benjifisher
by
8.3k points

1 Answer

5 votes

Answer:

x = 2

Explanation:

Note that 25 = 5² , then


5^((6-2x)) = 5²

Since the bases on both sides are 5 then equate the exponents

6 - 2x = 2 ( subtract 6 from both sides )

- 2x = - 4 ( divide both sides by - 2 )

x = 2

User Ecesena
by
7.0k points
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