What is log_{10}((7y)/9) ?

The solution to log_{10}((7y)/9) is log_{10}(7)+log_{10}(y)-2log_{10}(3)

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simplify log_{10}((7y)/9)

simplify

lo g_{10} (\frac{7 y}{9})

lo g_{10} (7) + lo g_{10} (y) - 2 lo g_{10} (3)

Solution steps

lo g_{10} (\frac{7 y}{9})

Apply log rule:

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

lo g_{10} (\frac{7 y}{9}) = lo g_{10} (7 y) - lo g_{10} (9)

= lo g_{10} (7 y) - lo g_{10} (9)

lo g_{10} (7 y) = lo g_{10} (7) + lo g_{10} (y)

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

= lo g_{10} (7) + lo g_{10} (y) - 2 lo g_{10} (3)

lo g_{5} (25 b)

3 ln (\frac{9}{2})

7 lo g_{b} (v) + 4 lo g_{b} (x)

ln (- 2 ln (x))

What is log_{10}((7y)/9) ?
The solution to log_{10}((7y)/9) is log_{10}(7)+log_{10}(y)-2log_{10}(3)