Problem 726

Sir SagarMay 21, 2015May 21, 20150

Evaluate log ₆ $\frac{1}{36}$ .

Solution:-

Write y = log ₆ $\frac{1}{36}$ in its equivalent exponential form.

6^y = $\frac{1}{36}$

Express $\frac{1}{36}$ as the power of 6.

6^y = $\frac{1}{36}$

=6^-2

Therefore, log ₆ $\frac{1}{36}$ = -2

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