Solve for x 4^(2x-3)=64

Problem

4(2*x−3)=64

Solution

1. Rewrite the right side of the equation as a power of 4.

64=4

2. Substitute the power back into the original equation.

4(2*x−3)=4

3. Equate the exponents since the bases are the same.

2*x−3=3

4. Add 3 to both sides of the equation to isolate the term with x

2*x=6

5. Divide both sides by 2 to solve for x

x=3

Final Answer

x=3

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