What is log_{x}((a^3b)/(sqrt(c))) ?

The solution to log_{x}((a^3b)/(sqrt(c))) is 3log_{x}(a)+log_{x}(b)-log_{x}(sqrt(c))

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simplify log_{x}((a^3b)/(sqrt(c)))

simplify

lo g_{x} (\frac{a ^{3} b}{c})

3 lo g_{x} (a) + lo g_{x} (b) - lo g_{x} (c)

Solution steps

lo g_{x} (\frac{a ^{3} b}{c})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{x} (\frac{a ^{3} b}{c}) = lo g_{x} (a^{3} b) - lo g_{x} (c)

= lo g_{x} (a^{3} b) - lo g_{x} (c)

Simplify

lo g_{x} (a^{3} b) : 3 lo g_{x} (a) + lo g_{x} (b)

= 3 lo g_{x} (a) + lo g_{x} (b) - lo g_{x} (c)

- lo g_{10} (6.28 \cdot 1 0^{- 5})

lo g_{10} (4 x) - lo g_{10} (12 + x)

ln (\frac{x ^{2} - 7}{( x - 3 ) ^{4}})

ln (2 x - 1) - ln (x + 4)

lo g_{10} (4^{- 1}) + lo g_{10} (\frac{1}{2})

What is log_{x}((a^3b)/(sqrt(c))) ?
The solution to log_{x}((a^3b)/(sqrt(c))) is 3log_{x}(a)+log_{x}(b)-log_{x}(sqrt(c))