Solve for x log base x of 36=2

Problem

(log_x)(36)=2

Solution

1. Rewrite the logarithmic equation in its equivalent exponential form using the definition (log_b)(a)=c⇔bc=a

x2=36

2. Solve for x by taking the square root of both sides of the equation.

x=±√(,36)

x=±6

3. Check the constraints for the base of a logarithm, which must be positive and not equal to 1 (x>0 and x≠1.

x=6

Final Answer

(log_x)(36)=2⇒x=6

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