What is log_{11}((xy)/(zt)) ?

The solution to log_{11}((xy)/(zt)) is log_{11}(x)+log_{11}(y)-log_{11}(z)-log_{11}(t)

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simplify log_{11}((xy)/(zt))

simplify

lo g_{11} (\frac{x y}{z t})

lo g_{11} (x) + lo g_{11} (y) - lo g_{11} (z) - lo g_{11} (t)

Solution steps

lo g_{11} (\frac{x y}{z t})

Apply log rule:

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

lo g_{11} (\frac{x y}{z t}) = lo g_{11} (x y) - lo g_{11} (z t)

= lo g_{11} (x y) - lo g_{11} (z t)

lo g_{11} (x y) = lo g_{11} (x) + lo g_{11} (y)

lo g_{11} (z t) = lo g_{11} (z) + lo g_{11} (t)

= lo g_{11} (x) + lo g_{11} (y) - (lo g_{11} (z) + lo g_{11} (t))

Apply the distributive law:

- (a + b) = - a - b

- (lo g_{11} (z) + lo g_{11} (t)) = - lo g_{11} (z) - lo g_{11} (t)

= lo g_{11} (x) + lo g_{11} (y) - lo g_{11} (z) - lo g_{11} (t)

lo g_{10} (m) + lo g_{10} (n) + lo g_{10} (p)

6 lo g_{b} (x) + 3 lo g_{b} (z)

lo g_{4} (x) + lo g_{4} (x + 1)

\frac{- ln ( \frac{a}{P} - b ) + ln ( \frac{a}{P _{0}} - b )}{a}

lo g_{8} (\frac{w ^{4} x ^{2}}{yz})

What is log_{11}((xy)/(zt)) ?
The solution to log_{11}((xy)/(zt)) is log_{11}(x)+log_{11}(y)-log_{11}(z)-log_{11}(t)