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Popular >

simplify log_{1/3}(729)

Solution

simplify

lo g_{\frac{1}{3}} (729)

Solution

- 6

Solution steps

lo g_{\frac{1}{3}} (729)

Apply log rule:

lo g_{\frac{1}{a}} (x) = - lo g_{a} (x)

lo g_{\frac{1}{3}} (729) = - lo g_{3} (729)

= - lo g_{3} (729)

Factor the number:

729 = 3^{6}

= - lo g_{3} (3^{6})

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{3} (3^{6}) = 6

= - 6

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Frequently Asked Questions (FAQ)

What is log_{1/3}(729) ?
The solution to log_{1/3}(729) is -6