What is log_{12}(+1/2 log_{7}(-log_{2}(x))) ?

The solution to log_{12}(+1/2 log_{7}(-log_{2}(x))) is -log_{12}(2)+log_{12}(log_{7}(-log_{2}(x)))

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simplify log_{12}(+1/2 log_{7}(-log_{2}(x)))

simplify

lo g_{12} (+ \frac{1}{2} lo g_{7} (- lo g_{2} (x)))

- lo g_{12} (2) + lo g_{12} (lo g_{7} (- lo g_{2} (x)))

Solution steps

lo g_{12} (\frac{1}{2} lo g_{7} (- lo g_{2} (x)))

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{12} (\frac{1}{2} lo g_{7} (- lo g_{2} (x))) = lo g_{12} (\frac{1}{2}) + lo g_{12} (lo g_{7} (- lo g_{2} (x)))

= lo g_{12} (\frac{1}{2}) + lo g_{12} (lo g_{7} (- lo g_{2} (x)))

lo g_{12} (\frac{1}{2}) = - lo g_{12} (2)

= - lo g_{12} (2) + lo g_{12} (lo g_{7} (- lo g_{2} (x)))

lo g_{3} (x^{7} 3 y^{6})

lo g_{10} (8 (1 + 3 x))

lo g_{10} (\frac{m}{10 n})

lo g_{10} (3 x y^{3})

ln (12) + ln (3)

What is log_{12}(+1/2 log_{7}(-log_{2}(x))) ?
The solution to log_{12}(+1/2 log_{7}(-log_{2}(x))) is -log_{12}(2)+log_{12}(log_{7}(-log_{2}(x)))