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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

ln (7 e^{5 y})

- ln (x \cdot e^{y})

0.46 + \frac{0.025963}{2} ln (\frac{0.0155}{3.5})

\frac{15}{4} ln (2)

6 ln (7) - 9 ln (8)

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