What is expand log_{10}(yz^5) ?

The solution to expand log_{10}(yz^5) is log_{10}(y)+5log_{10}(z)

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expand log_{10}(yz^5)

expand

lo g_{10} (y z^{5})

lo g_{10} (y) + 5 lo g_{10} (z)

Solution steps

lo g_{10} (y z^{5})

Apply log rule:

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

lo g_{10} (y z^{5}) = lo g_{10} (y) + lo g_{10} (z^{5})

= lo g_{10} (y) + lo g_{10} (z^{5})

Apply log rule:

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

lo g_{10} (z^{5}) = 5 lo g_{10} (z)

= lo g_{10} (y) + 5 lo g_{10} (z)

ln (\frac{3}{2.5})

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

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

ln (\frac{3}{2}) - ln (\frac{1}{2})

ln (x) - 2 ln (x^{2} + 1) + \frac{1}{2} ln (3 - x^{4})

What is expand log_{10}(yz^5) ?
The solution to expand log_{10}(yz^5) is log_{10}(y)+5log_{10}(z)