What is 4log_{2}(x)-6log_{2}(y) ?

The solution to 4log_{2}(x)-6log_{2}(y) is log_{2}((x^4)/(y^6))

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simplify 4log_{2}(x)-6log_{2}(y)

simplify

4 lo g_{2} (x) - 6 lo g_{2} (y)

lo g_{2} (\frac{x ^{4}}{y ^{6}})

Solution steps

4 lo g_{2} (x) - 6 lo g_{2} (y)

Apply log rule:

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

4 lo g_{2} (x) = lo g_{2} (x^{4})

= lo g_{2} (x^{4}) - 6 lo g_{2} (y)

Apply log rule:

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

6 lo g_{2} (y) = lo g_{2} (y^{6})

= lo g_{2} (x^{4}) - lo g_{2} (y^{6})

Apply log rule:

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

lo g_{2} (x^{4}) - lo g_{2} (y^{6}) = lo g_{2} (\frac{x ^{4}}{y ^{6}})

= lo g_{2} (\frac{x ^{4}}{y ^{6}})

ln (18 \cdot 1 0^{2})

41.86 \cdot ln (\frac{288}{273})

\frac{1}{3} ln (\frac{10}{3}) \cdot 15 + ln (\frac{1}{10})

ln^{2} (t) + ln (t)

ln (x^{8} e^{- x (4.28 \cdot 1 0^{- 5})})

What is 4log_{2}(x)-6log_{2}(y) ?
The solution to 4log_{2}(x)-6log_{2}(y) is log_{2}((x^4)/(y^6))