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Solution of Exponential Equations

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Solve each exponential equation by expressing each side as a power of the same base and then equating exponents.

2. 3^x=81 4. 5^x =625

6. 3^(2x+1) =27 8. 5^(3x-1) =125

10. 4^x =32 12. 125^x =625

14. 5^(2-x) = 1
125

16. x-2 = sqrt 7
7 6

18. 9^x = __1____
3 sqrt 3

20. 8^(1-x) = 4^(x+2)

22. e^(x+4) = __1__
e^2x.

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The solution provides step-by-step method for the calculation of solutions of exponential equations.

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