What is expand log_{10}(yz^4) ?

The solution to expand log_{10}(yz^4) is log_{10}(y)+4log_{10}(z)

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expand log_{10}(yz^4)

expand

lo g_{10} (y z^{4})

lo g_{10} (y) + 4 lo g_{10} (z)

Solution steps

lo g_{10} (y z^{4})

Apply log rule:

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

lo g_{10} (y z^{4}) = lo g_{10} (y) + lo g_{10} (z^{4})

= lo g_{10} (y) + lo g_{10} (z^{4})

Apply log rule:

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

lo g_{10} (z^{4}) = 4 lo g_{10} (z)

= lo g_{10} (y) + 4 lo g_{10} (z)

2000 (ln (140000) - ln (92487.5)) - 221.725

lo g_{2} (\frac{4 x}{y})

20 \cdot lo g_{10} (\frac{10}{0.24})

ln (\frac{e ^{x + x yz}}{e ^{x + x yz} + e ^{y}})

0.2 lo g_{2} (0.2) + 0.8 lo g_{2} (0.8)

What is expand log_{10}(yz^4) ?
The solution to expand log_{10}(yz^4) is log_{10}(y)+4log_{10}(z)