What is 7log_{2}(x)-4log_{2}(y) ?

The solution to 7log_{2}(x)-4log_{2}(y) is log_{2}((x^7)/(y^4))

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simplify 7log_{2}(x)-4log_{2}(y)

simplify

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

lo g_{2} (\frac{x ^{7}}{y ^{4}})

Solution steps

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

Apply log rule:

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

7 lo g_{2} (x) = lo g_{2} (x^{7})

= lo g_{2} (x^{7}) - 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^{7}) - 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^{7}) - lo g_{2} (y^{4}) = lo g_{2} (\frac{x ^{7}}{y ^{4}})

= lo g_{2} (\frac{x ^{7}}{y ^{4}})

ln (\frac{a x}{56})

6.1 + lo g_{10} (\frac{24}{1.2})

lo g_{10} (a) - 3 lo g_{10} (b) - 3

lo g_{10} (2) + 2 lo g_{10} (x)

- ln (10 \cdot 1 0^{- 6})

What is 7log_{2}(x)-4log_{2}(y) ?
The solution to 7log_{2}(x)-4log_{2}(y) is log_{2}((x^7)/(y^4))