SOLUTION: State the value of x that satisfies 4^(2x-3)=2

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Question 1095187: State the value of x that satisfies 4^(2x-3)=2
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52932)   (Show Source): You can put this solution on YOUR website!
.
 = 2 ====>   = 2  ====>   = 2 ====>  4x-6 = 1  ====>  4x = 1 + 6 = 7  ====>  x = .


Answer by MathTherapy(10559)   (Show Source): You can put this solution on YOUR website!

State the value of x that satisfies 4^(2x-3)=2

------ Converting 4 to base 2

2(2x - 3) = 1 ------ Bases are equivalent and so are the exponents
4x - 6 = 1
4x = 7

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