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

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

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

simplify

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

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)

Simplify

lo g_{10} (9 x) : 2 lo g_{10} (3) + lo g_{10} (x)

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

ln (\frac{6 x 1 + 8 x}{( x - 4 ) ^{13}})

2 lo g_{10} (x) + 5 lo g_{10} (y)

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

2 ln (2) - ln (3)

2 + \frac{1}{2} lo g_{2} (49) - lo g_{2} (21)

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