Solve for x 2^(3x)=128

Problem

2(3*x)=128

Solution

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

2. Rewrite the right side of the equation, 128 as a power of 2

3. Calculate the exponent for the base 2 such that 2=128

4. Substitute the power back into the equation.

2(3*x)=2

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

3*x=7

6. Solve for x by dividing both sides of the equation by 3

x=7/3

Final Answer

2(3*x)=128⇒x=7/3

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