What is 4log_{10}(x)+2log_{10}(y) ?

The solution to 4log_{10}(x)+2log_{10}(y) is log_{10}(x^4y^2)

Popular >

simplify 4log_{10}(x)+2log_{10}(y)

simplify

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

lo g_{10} (x^{4} y^{2})

Solution steps

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

Apply log rule:

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

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

= lo g_{10} (x^{4}) + lo g_{10} (y^{2})

Apply log rule:

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

lo g_{10} (x^{4}) + lo g_{10} (y^{2}) = lo g_{10} (x^{4} y^{2})

= lo g_{10} (x^{4} y^{2})

\frac{1}{3} lo g_{3} (x^{6}) + \frac{1}{6} lo g_{3} (x^{6}) - \frac{1}{9} lo g_{3} (x)

2 ln (x - 1) + 3 ln (x + 1)

lo g_{4} (\frac{4 x ^{6}}{y})

ln (\frac{e ^{4}}{6})

ln (2 x) + 1

What is 4log_{10}(x)+2log_{10}(y) ?
The solution to 4log_{10}(x)+2log_{10}(y) is log_{10}(x^4y^2)