What is log_{10}(y)+8log_{10}(z) ?

The solution to log_{10}(y)+8log_{10}(z) is log_{10}(yz^8)

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simplify log_{10}(y)+8log_{10}(z)

simplify

lo g_{10} (y) + 8 lo g_{10} (z)

lo g_{10} (y z^{8})

Solution steps

lo g_{10} (y) + 8 lo g_{10} (z)

Apply log rule:

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

8 lo g_{10} (z) = lo g_{10} (z^{8})

= lo g_{10} (y) + lo g_{10} (z^{8})

Apply log rule:

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

lo g_{10} (y) + lo g_{10} (z^{8}) = lo g_{10} (y z^{8})

= lo g_{10} (y z^{8})

- lo g_{10} (\frac{a}{b})

ln (2 i)

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

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

- ln (\frac{1}{4})

What is log_{10}(y)+8log_{10}(z) ?
The solution to log_{10}(y)+8log_{10}(z) is log_{10}(yz^8)