Solve for x 4^x=64

Problem

4=64

Solution

1. Identify the base of the exponential expression on the left side, which is 4

2. Rewrite the right side of the equation, 64 as a power with the same base of 4

3. Calculate the exponent needed since 4⋅4⋅4=64 which means 64=4

4. Substitute the new form into the equation:

4=4

5. Apply the property of equality for exponential functions, which states that if bx=by then x=y

6. Equate the exponents to find the value of x

x=3

Final Answer

4=64⇒x=3

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