What is log_{10}((8x)/y) ?

The solution to log_{10}((8x)/y) is 3log_{10}(2)+log_{10}(x)-log_{10}(y)

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simplify log_{10}((8x)/y)

simplify

lo g_{10} (\frac{8 x}{y})

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

Solution steps

lo g_{10} (\frac{8 x}{y})

Apply log rule:

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

lo g_{10} (\frac{8 x}{y}) = lo g_{10} (8 x) - lo g_{10} (y)

= lo g_{10} (8 x) - lo g_{10} (y)

Simplify

lo g_{10} (8 x) : 3 lo g_{10} (2) + lo g_{10} (x)

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

\frac{ln ( 479 ) - ln ( 158 )}{89}

ln (2) + \frac{1}{2} ln (9)

0.25 \cdot ln (\frac{1 0 ^{17} \cdot 1 0 ^{16}}{( 1 0 ^{10} ) ^{2}})

ln (\frac{3}{2} + 1) + ln (\frac{1}{2} + 1)

lo g_{7} ((x + y) \cdot z)

What is log_{10}((8x)/y) ?
The solution to log_{10}((8x)/y) is 3log_{10}(2)+log_{10}(x)-log_{10}(y)