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

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

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expand log_{10}(z^4y)

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

20 ln (\frac{1400}{1400 + 100 ( 10 )}) + 9.8 (10)

lo g_{x} (- 2 lo g_{y} (+ 5 lo g_{z} (x)))

ln (a \cdot \frac{a}{a + 5})

ln (x^{2} - 144) - ln (x + 12)

ln (\frac{x}{1 - x ^{2}})

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