What is 4log_{10}(x)+3log_{10}(y) ?

The solution to 4log_{10}(x)+3log_{10}(y) is log_{10}(x^4y^3)

Popular >

simplify 4log_{10}(x)+3log_{10}(y)

simplify

4 lo g_{10} (x) + 3 lo g_{10} (y)

lo g_{10} (x^{4} y^{3})

Solution steps

4 lo g_{10} (x) + 3 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}) + 3 lo g_{10} (y)

Apply log rule:

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

3 lo g_{10} (y) = lo g_{10} (y^{3})

= lo g_{10} (x^{4}) + lo g_{10} (y^{3})

Apply log rule:

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

lo g_{10} (x^{4}) + lo g_{10} (y^{3}) = lo g_{10} (x^{4} y^{3})

= lo g_{10} (x^{4} y^{3})

ln (\frac{( d - r ) ^{2}}{r ^{2}})

\frac{1}{2} (lo g_{5} (s) + lo g_{5} (t))

- lo g_{10} (1.2 \cdot 1 0^{- 5})

- lo g_{10} (1.34 \times 1 0^{- 3})

lo g_{3} (\frac{9}{mn})

What is 4log_{10}(x)+3log_{10}(y) ?
The solution to 4log_{10}(x)+3log_{10}(y) is log_{10}(x^4y^3)