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Solve for x 3 log of 2x=4

Problem

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

Solution

  1. Isolate the logarithmic term by dividing both sides of the equation by 3

(log_)(2*x)=4/3

  1. Rewrite the equation in exponential form, assuming the base is 10 for a standard common logarithm.

2*x=10

  1. Solve for x by dividing both sides by 2

x=10/2

  1. Simplify the expression using radical notation if necessary.

x=√(3,10)/2

x=(10√(3,10))/2

x=5√(3,10)

Final Answer

x=5√(3,10)


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