What is expand log_{10}((sqrt(x))/(1000y^6)) ?

The solution to expand log_{10}((sqrt(x))/(1000y^6)) is log_{10}(sqrt(x))-3-6log_{10}(y)

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Popular >

expand log_{10}((sqrt(x))/(1000y^6))

expand

lo g_{10} (\frac{x}{1000 y ^{6}})

lo g_{10} (x) - 3 - 6 lo g_{10} (y)

Solution steps

lo g_{10} (\frac{x}{1000 y ^{6}})

Apply log rule:

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

lo g_{10} (\frac{x}{1000 y ^{6}}) = lo g_{10} (x) - lo g_{10} (1000 y^{6})

= lo g_{10} (x) - lo g_{10} (1000 y^{6})

Apply log rule:

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

lo g_{10} (1000 y^{6}) = lo g_{10} (1000) + lo g_{10} (y^{6})

= lo g_{10} (x) - (lo g_{10} (y^{6}) + lo g_{10} (1000))

Apply log rule:

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

lo g_{10} (y^{6}) = 6 lo g_{10} (y)

= lo g_{10} (x) - (lo g_{10} (1000) + 6 lo g_{10} (y))

lo g_{10} (1000) = 3

= lo g_{10} (x) - (6 lo g_{10} (y) + 3)

- (3 + 6 lo g_{10} (y)) : - 3 - 6 lo g_{10} (y)

= lo g_{10} (x) - 3 - 6 lo g_{10} (y)

3 lo g_{10} (x^{4}) - 5 lo g_{10} (x^{2})

2 (ln (3) - ln (2))

lo g_{b} (x^{2} y^{3} z)

ln (\frac{π}{6})

What is expand log_{10}((sqrt(x))/(1000y^6)) ?
The solution to expand log_{10}((sqrt(x))/(1000y^6)) is log_{10}(sqrt(x))-3-6log_{10}(y)