What is 2log_{x}(-3log_{y}(+4log_{z}(x))) ?

The solution to 2log_{x}(-3log_{y}(+4log_{z}(x))) is 2log_{x}(-3(2log_{y}(2)+log_{y}(log_{z}(x))))

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simplify 2log_{x}(-3log_{y}(+4log_{z}(x)))

simplify

2 lo g_{x} (- 3 lo g_{y} (+ 4 lo g_{z} (x)))

2 lo g_{x} (- 3 (2 lo g_{y} (2) + lo g_{y} (lo g_{z} (x))))

Solution steps

2 lo g_{x} (- 3 lo g_{y} (4 lo g_{z} (x)))

Simplify

lo g_{y} (4 lo g_{z} (x)) : 2 lo g_{y} (2) + lo g_{y} (lo g_{z} (x))

= 2 lo g_{x} (- 3 (2 lo g_{y} (2) + lo g_{y} (lo g_{z} (x))))

lo g_{10} (\frac{y ^{5}}{z ^{2} x ^{3}})

4 ln (x) + 2 ln (y)

4 lo g_{b} (q) - lo g_{b} (r)

ln (x x^{2} - 8)

3 lo g_{2} (x) - lo g_{2} (y) + lo g_{2} (z)

What is 2log_{x}(-3log_{y}(+4log_{z}(x))) ?
The solution to 2log_{x}(-3log_{y}(+4log_{z}(x))) is 2log_{x}(-3(2log_{y}(2)+log_{y}(log_{z}(x))))