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))

- ln (\frac{t}{1 - t})

- 5 ln (x) + 5 ln (y)

ln (10) - ln (4)

9 ln (x) - 6 ln (y)

\frac{1}{4} lo g_{a} (M) - 3 lo g_{a} (Q)

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