Math  /  Algebra

QuestionQuestion 13 Given logm6=12\log _{m} \sqrt{6}=\frac{1}{2}, find the value of mm. Type here

Studdy Solution
To solve for m m , we need to eliminate the exponent 12\frac{1}{2}. We do this by squaring both sides of the equation:
(m12)2=(6)2 (m^{\frac{1}{2}})^2 = (\sqrt{6})^2
This simplifies to:
m=6 m = 6
The value of m m is:
6 \boxed{6}

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