What is 5log_{2}(x)+10log_{2}(y) ?

The solution to 5log_{2}(x)+10log_{2}(y) is log_{2}(x^5y^{10})

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simplify 5log_{2}(x)+10log_{2}(y)

simplify

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

lo g_{2} (x^{5} y^{10})

Solution steps

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

Apply log rule:

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

5 lo g_{2} (x) = lo g_{2} (x^{5})

= lo g_{2} (x^{5}) + 10 lo g_{2} (y)

Apply log rule:

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

10 lo g_{2} (y) = lo g_{2} (y^{10})

= lo g_{2} (x^{5}) + lo g_{2} (y^{10})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{2} (x^{5}) + lo g_{2} (y^{10}) = lo g_{2} (x^{5} y^{10})

= lo g_{2} (x^{5} y^{10})

- lo g_{10} (1.11 \cdot 1 0^{- 10})

ln ∣ 5 + 3 ∣ + 70 e^{3} (3) + 80 - ln (5)

lo g_{4} (\frac{1}{16 x ^{2} z ^{3}})

lo g_{a} (12 x^{3} y)

ln (\frac{( \frac{0.302}{0.294} )}{9.9})

What is 5log_{2}(x)+10log_{2}(y) ?
The solution to 5log_{2}(x)+10log_{2}(y) is log_{2}(x^5y^{10})