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

The solution to log_{10}((sqrt(x))/(10y^6)) is log_{10}(sqrt(x))-1-6log_{10}(y)

Popular >

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

simplify

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

lo g_{10} (x) - 1 - 6 lo g_{10} (y)

Solution steps

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

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

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

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

Simplify

lo g_{10} (10 y^{6}) : 1 + 6 lo g_{10} (y)

= lo g_{10} (x) - (1 + 6 lo g_{10} (y))

Apply the distributive law:

- (a + b) = - a - b

- (1 + 6 lo g_{10} (y)) = - 1 - 6 lo g_{10} (y)

= lo g_{10} (x) - 1 - 6 lo g_{10} (y)

\frac{1}{3} lo g_{c} (x) + 3 lo g_{c} (y) - 5 lo g_{c} (x)

ln (\frac{13}{3})

(3 lo g_{7} (m) + 12 lo g_{7} (n)) - 3 lo g_{7} (p)

lo g_{6} (c a \cdot b)

- ln (\frac{4}{5})

What is log_{10}((sqrt(x))/(10y^6)) ?
The solution to log_{10}((sqrt(x))/(10y^6)) is log_{10}(sqrt(x))-1-6log_{10}(y)