What is 3log_{3^'}(-2log_{6}(x)) ?

The solution to 3log_{3^'}(-2log_{6}(x)) is 3log_{3^'}(2)+3log_{3^'}(log_{6}(x))

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simplify 3log_{3^'}(-2log_{6}(x))

simplify

3 lo g_{3^{^{'}}} (- 2 lo g_{6} (x))

3 lo g_{3^{'}} (2) + 3 lo g_{3^{'}} (lo g_{6} (x))

Solution steps

3 lo g_{3^{^{'}}} (- 2 lo g_{6} (x))

Apply log rule:

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

3 lo g_{3^{^{'}}} (- 2 lo g_{6} (x)) = 3 lo g_{3^{^{'}}} (2) + 3 lo g_{3^{^{'}}} (lo g_{6} (x))

= 3 lo g_{3^{^{^{'}}}} (2) + 3 lo g_{3^{^{^{'}}}} (lo g_{6} (x))

lo g_{2} (3) + 4 lo g_{2} (x) + \frac{1}{2} lo g_{2} (y)

- lo g_{10} (0.56) - (1 - 1) \cdot lo g_{10} (1 - 0.56)

lo g_{10} (\frac{x ^{4}}{y ^{5} z})

\frac{1}{12} ln ∣ (12 \cdot 5) + 150 ∣ - \frac{1}{12} ln ∣ 12 + 6 ∣

\frac{3 ln ( 2 ) - ln ( 3 )}{4}

What is 3log_{3^'}(-2log_{6}(x)) ?
The solution to 3log_{3^'}(-2log_{6}(x)) is 3log_{3^'}(2)+3log_{3^'}(log_{6}(x))