What is expand log_{10}((sqrt(x))/(z^5y)) ?

The solution to expand log_{10}((sqrt(x))/(z^5y)) is log_{10}(sqrt(x))-5log_{10}(z)-log_{10}(y)

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Popular >

expand log_{10}((sqrt(x))/(z^5y))

expand

lo g_{10} (\frac{x}{z ^{5} y})

lo g_{10} (x) - 5 lo g_{10} (z) - lo g_{10} (y)

Solution steps

lo g_{10} (\frac{x}{z ^{5} y})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{x}{z ^{5} y}) = lo g_{10} (x) - lo g_{10} (z^{5} y)

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

Apply log rule:

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

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

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

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

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

= lo g_{10} (x) - 5 lo g_{10} (z) - lo g_{10} (y)

lo g_{3} (\frac{1}{( x ^{2} y 3 ^{z} )})

ln (\frac{( 6 + 0 )}{4 - 0})

\frac{4 ln ( 2 )}{ln ( \frac{25}{24} )}

lo g_{e} (\frac{1}{4}) + \frac{1}{4}

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

What is expand log_{10}((sqrt(x))/(z^5y)) ?
The solution to expand log_{10}((sqrt(x))/(z^5y)) is log_{10}(sqrt(x))-5log_{10}(z)-log_{10}(y)