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Popular >

simplify log_{1/3}(3x)

Solution

simplify

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

Solution

- 1 - lo g_{3} (x)

Solution steps

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

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{\frac{1}{3}} (3 x) = lo g_{\frac{1}{3}} (3) + lo g_{\frac{1}{3}} (x)

= lo g_{\frac{1}{3}} (3) + lo g_{\frac{1}{3}} (x)

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

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

Apply log rule:

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

= - 1 - lo g_{3} (x)

Popular Examples

simplify ln(5)-ln(20)simplify

ln (5) - ln (20)

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simplify-6/11 log_{2}(6/11)-5/11 log_{2}(5/11)simplify

- \frac{6}{11} lo g_{2} (\frac{6}{11}) - \frac{5}{11} lo g_{2} (\frac{5}{11})

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Frequently Asked Questions (FAQ)

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