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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

lo g_{10} (2 x + 5) - lo g_{10} (x)

\frac{1}{3} ln (x) + 4 [ln (x - 3) - \frac{3}{8} ln (x + 3)]

5 ln (x) - 2 ln (y)

ln (a + b) + ln (a - b) - 9 ln (c)

lo g_{2} (\frac{x ^{3}}{x - 3})

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