Solve for x 4+3 log of 2x=16

Problem

4+3*(log_)(2*x)=16

Solution

1. Isolate the logarithmic term by subtracting 4 from both sides of the equation.

3*(log_)(2*x)=12

2. Divide both sides by 3 to further isolate the logarithm.

(log_)(2*x)=4

3. Rewrite the equation in exponential form, assuming the base is 10.

2*x=10

4. Simplify the power of 10.

2*x=10000

5. Solve for x by dividing both sides by 2.

x=5000

Final Answer

x=5000

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