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Popular >

simplify log_{1/3}(243)

Solution

simplify

lo g_{\frac{1}{3}} (243)

Solution

- 5

Solution steps

lo g_{\frac{1}{3}} (243)

Apply log rule:

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

lo g_{\frac{1}{3}} (243) = - lo g_{3} (243)

= - lo g_{3} (243)

Factor the number:

243 = 3^{5}

= - lo g_{3} (3^{5})

Apply log rule:

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

lo g_{3} (3^{5}) = 5

= - 5

Popular Examples

simplify 1/6*15/40 simplify

\frac{1}{6} \cdot \frac{15}{40}

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simplify sqrt(-9)simplify

- 9

x^{2} + 20 x = - 87

Frequently Asked Questions (FAQ)

What is log_{1/3}(243) ?
The solution to log_{1/3}(243) is -5