What is 4log_{10}(y)+11log_{10}(x) ?

The solution to 4log_{10}(y)+11log_{10}(x) is log_{10}(y^4x^{11})

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simplify 4log_{10}(y)+11log_{10}(x)

simplify

4 lo g_{10} (y) + 11 lo g_{10} (x)

lo g_{10} (y^{4} x^{11})

Solution steps

4 lo g_{10} (y) + 11 lo g_{10} (x)

Apply log rule:

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

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

= lo g_{10} (y^{4}) + 11 lo g_{10} (x)

Apply log rule:

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

11 lo g_{10} (x) = lo g_{10} (x^{11})

= lo g_{10} (y^{4}) + lo g_{10} (x^{11})

Apply log rule:

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

lo g_{10} (y^{4}) + lo g_{10} (x^{11}) = lo g_{10} (y^{4} x^{11})

= lo g_{10} (y^{4} x^{11})

ln (\frac{v}{40})

2 lo g_{10} (x) + lo g_{10} (y) - \frac{1}{2} lo g_{10} (z)

ln (x) - ln (c)

\frac{1}{2} lo g_{a} (5) - lo g_{a} (2)

4 ln (\frac{4}{10})

What is 4log_{10}(y)+11log_{10}(x) ?
The solution to 4log_{10}(y)+11log_{10}(x) is log_{10}(y^4x^{11})