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

The solution to expand log_{10}(y/(7x)) is log_{10}(y)-log_{10}(7)-log_{10}(x)

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expand log_{10}(y/(7x))

expand

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

lo g_{10} (y) - lo g_{10} (7) - lo g_{10} (x)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

- (lo g_{10} (7) + lo g_{10} (x)) : - lo g_{10} (7) - lo g_{10} (x)

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

ln (\frac{( 1216.391509 )}{11})

lo g_{10} (\frac{t}{8})

ln (a + b) + 3 ln (a - b) - 4 ln (c)

- ln (3 x^{2} + 3 x - 10) + ln (2 - 5 x)

ln (a e^{- b t})

What is expand log_{10}(y/(7x)) ?
The solution to expand log_{10}(y/(7x)) is log_{10}(y)-log_{10}(7)-log_{10}(x)