What is log_{10}(y)+6log_{10}(z) ?

The solution to log_{10}(y)+6log_{10}(z) is log_{10}(yz^6)

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simplify log_{10}(y)+6log_{10}(z)

simplify

lo g_{10} (y) + 6 lo g_{10} (z)

lo g_{10} (y z^{6})

Solution steps

lo g_{10} (y) + 6 lo g_{10} (z)

Apply log rule:

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

6 lo g_{10} (z) = lo g_{10} (z^{6})

= lo g_{10} (y) + lo g_{10} (z^{6})

Apply log rule:

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

lo g_{10} (y) + lo g_{10} (z^{6}) = lo g_{10} (y z^{6})

= lo g_{10} (y z^{6})

lo g_{4} (\frac{y}{x})

lo g_{5} (7 x)

3 lo g_{5} (x) - \frac{1}{2} lo g_{5} (6 - x)

ln (x) + ln (20)

lo g_{5} (5 x^{2})

What is log_{10}(y)+6log_{10}(z) ?
The solution to log_{10}(y)+6log_{10}(z) is log_{10}(yz^6)