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Popular >

simplify log_{1/6}(216)

Solution

simplify

lo g_{\frac{1}{6}} (216)

Solution

- 3

Solution steps

lo g_{\frac{1}{6}} (216)

Apply log rule:

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

lo g_{\frac{1}{6}} (216) = - lo g_{6} (216)

= - lo g_{6} (216)

Factor the number:

216 = 6^{3}

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

Apply log rule:

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

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

= - 3

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simplify 54/18 simplify

\frac{54}{18}

simplify log_{1/3}(1.5)simplify

lo g_{\frac{1}{3}} (1.5)

simplify-2\times 3/2 simplify

- 2 \times \frac{3}{2}

Frequently Asked Questions (FAQ)

What is log_{1/6}(216) ?
The solution to log_{1/6}(216) is -3