Solve for x 4 log of x-6=11

Problem

4*(log_)(x−6)=11

Solution

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

(log_)(x−6)=11/4

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

x−6=10

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

x=10+6

4. Simplify the exponent if necessary, noting that 10 can be written in radical form as √(4,10)

x=√(4,10)+6

Final Answer

x=10+6

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