What is 4log_{10}(x)+8log_{10}(y) ?

The solution to 4log_{10}(x)+8log_{10}(y) is log_{10}(x^4y^8)

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simplify 4log_{10}(x)+8log_{10}(y)

simplify

4 lo g_{10} (x) + 8 lo g_{10} (y)

lo g_{10} (x^{4} y^{8})

Solution steps

4 lo g_{10} (x) + 8 lo g_{10} (y)

Apply log rule:

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

4 lo g_{10} (x) = lo g_{10} (x^{4})

= lo g_{10} (x^{4}) + 8 lo g_{10} (y)

Apply log rule:

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

8 lo g_{10} (y) = lo g_{10} (y^{8})

= lo g_{10} (x^{4}) + lo g_{10} (y^{8})

Apply log rule:

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

lo g_{10} (x^{4}) + lo g_{10} (y^{8}) = lo g_{10} (x^{4} y^{8})

= lo g_{10} (x^{4} y^{8})

7 + lo g_{10} (\frac{0.35}{1.7})

- lo g_{10} (1.8 \cdot 1 0^{- 13})

ln (p) + 2 ln (q) + 6 ln (r)

ln (15 \cdot e^{\frac{t}{t}})

4.75 + lo g_{10} (\frac{0.15}{0.7})

What is 4log_{10}(x)+8log_{10}(y) ?
The solution to 4log_{10}(x)+8log_{10}(y) is log_{10}(x^4y^8)