What is expand log_{10}((9x)/y) ?

The solution to expand log_{10}((9x)/y) is 2log_{10}(3)+log_{10}(x)-log_{10}(y)

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expand log_{10}((9x)/y)

expand

lo g_{10} (\frac{9 x}{y})

2 lo g_{10} (3) + lo g_{10} (x) - lo g_{10} (y)

Solution steps

lo g_{10} (\frac{9 x}{y})

Apply log rule:

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

lo g_{10} (\frac{9 x}{y}) = lo g_{10} (9 x) - lo g_{10} (y)

= lo g_{10} (9 x) - lo g_{10} (y)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{10} (9 x) = lo g_{10} (9) + lo g_{10} (x)

= lo g_{10} (9) + lo g_{10} (x) - lo g_{10} (y)

lo g_{10} (9) = 2 lo g_{10} (3)

= 2 lo g_{10} (3) + lo g_{10} (x) - lo g_{10} (y)

ln (9 + s^{2}) - ln (25 + s^{2})

lo g_{10} (4 a^{5} b^{4})

ln (\frac{154}{234})

ln (\frac{x ^{P} e ^{- y}}{z})

2 lo g_{10} (ab)

What is expand log_{10}((9x)/y) ?
The solution to expand log_{10}((9x)/y) is 2log_{10}(3)+log_{10}(x)-log_{10}(y)