What is 6log_{10}(x)-3log_{10}(y) ?

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

Popular >

simplify 6log_{10}(x)-3log_{10}(y)

simplify

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

lo g_{10} (\frac{x ^{6}}{y ^{3}})

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 lo g_{10} (y) = lo g_{10} (y^{3})

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

Apply log rule:

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

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

= lo g_{10} (\frac{x ^{6}}{y ^{3}})

2 lo g_{k} (4 a) - lo g_{k} (64) a^{4} + 3 lo g_{k} (2 a)

- lo g_{10} (2.52 \cdot 1 0^{25})

lo g_{2} (3) + lo g_{2} (x) + 2 lo g_{2} (y)

lo g_{10} (H^{3} O)

lo g_{4} (10000 x)

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