What is expand log_{10}(xz^8) ?

The solution to expand log_{10}(xz^8) is log_{10}(x)+8log_{10}(z)

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expand log_{10}(xz^8)

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= lo g_{10} (x) + 8 lo g_{10} (z)

ln (9) - ln (6)

ln (5) + 2 ln (4)

3 lo g_{10} (a) + lo g_{10} (c)

2 ln (8) - ln (4)

\frac{1}{2} (ln (6) - ln (4))

What is expand log_{10}(xz^8) ?
The solution to expand log_{10}(xz^8) is log_{10}(x)+8log_{10}(z)