What is log_{3/2}(x)+log_{x}(2/3) ?

The solution to log_{3/2}(x)+log_{x}(2/3) is log_{3/2}(x)++log_{x}(2)-log_{x}(3)

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simplify log_{3/2}(x)+log_{x}(2/3)

simplify

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

lo g_{\frac{3}{2}} (x) + + lo g_{x} (2) - lo g_{x} (3)

Solution steps

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

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{x} (\frac{2}{3}) = lo g_{x} (2) - lo g_{x} (3)

= lo g_{\frac{3}{2}} (x) + + lo g_{x} (2) - lo g_{x} (3)

lo g_{4} (\frac{g}{64})

ln (- 3) - ln (- 1)

2 lo g_{3} (3 x - 5) - lo g_{3} (1 - 6 x)

ln (7 e + 14) - ln (7) - ln (e + 2)

0.5 ln (16 x^{2})

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