What is log_{10}(y)+11log_{10}(z) ?

The solution to log_{10}(y)+11log_{10}(z) is log_{10}(yz^{11})

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simplify log_{10}(y)+11log_{10}(z)

simplify

lo g_{10} (y) + 11 lo g_{10} (z)

lo g_{10} (y z^{11})

Solution steps

lo g_{10} (y) + 11 lo g_{10} (z)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

11 lo g_{10} (z) = lo g_{10} (z^{11})

= lo g_{10} (y) + lo g_{10} (z^{11})

Apply log rule:

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

lo g_{10} (y) + lo g_{10} (z^{11}) = lo g_{10} (y z^{11})

= lo g_{10} (y z^{11})

lo g_{10} (\frac{100 x ^{2}}{27})

lo g_{10} (\frac{z}{3} (t - 2))

lo g_{10} (\frac{z ^{5}}{x ^{3} y})

lo g_{10} (\frac{y ^{7}}{x z ^{3}})

lo g_{10} (x (x^{2} + 9)^{- \frac{1}{2}})

What is log_{10}(y)+11log_{10}(z) ?
The solution to log_{10}(y)+11log_{10}(z) is log_{10}(yz^{11})