What is 2log_{b}(x)+4log_{b}(z) ?

The solution to 2log_{b}(x)+4log_{b}(z) is log_{b}(x^2z^4)

Popular >

simplify 2log_{b}(x)+4log_{b}(z)

simplify

2 lo g_{b} (x) + 4 lo g_{b} (z)

lo g_{b} (x^{2} z^{4})

Solution steps

2 lo g_{b} (x) + 4 lo g_{b} (z)

Apply log rule:

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

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

= lo g_{b} (x^{2}) + 4 lo g_{b} (z)

Apply log rule:

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

4 lo g_{b} (z) = lo g_{b} (z^{4})

= lo g_{b} (x^{2}) + lo g_{b} (z^{4})

Apply log rule:

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

lo g_{b} (x^{2}) + lo g_{b} (z^{4}) = lo g_{b} (x^{2} z^{4})

= lo g_{b} (x^{2} z^{4})

3 ln (x) - \frac{1}{2} ln (y) + 1

3 lo g_{4} (x) + 5 lo g_{4} (y) - 6 lo g_{4} (z)

lo g_{3} (z) + lo g_{3} (z + 5)

lo g_{10} (\frac{x}{10000 y ^{4}})

lo g_{4} (16 x y^{3})

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