Solve for x 16=2^(7x-5)

Problem

16=2(7*x−5)

Solution

1. Rewrite the left side of the equation as a power of 2 to match the base on the right side.

16=2

2. Substitute the new expression back into the original equation.

2=2(7*x−5)

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

4=7*x−5

4. Isolate the term containing x by adding 5 to both sides of the equation.

4+5=7*x

9=7*x

5. Solve for x by dividing both sides by 7.

x=9/7

Final Answer

x=9/7

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