Solve for x 2^x=64

Problem

2^x=64

Solution

1. Identify the base of the exponential expression on the left side, which is 2

2. Rewrite the right side of the equation, 64 as a power of 2

3. Calculate the exponent by multiplying 2 by itself until you reach 64 2×2×2×2×2×2=64 so 64=2^6

4. Substitute the new expression back into the equation.

2^x=2^6

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

x=6

Final Answer

x=6

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