What is 4log_{b}(x)+9log_{b}(z) ?

The solution to 4log_{b}(x)+9log_{b}(z) is log_{b}(x^4z^9)

Popular >

simplify 4log_{b}(x)+9log_{b}(z)

simplify

4 lo g_{b} (x) + 9 lo g_{b} (z)

lo g_{b} (x^{4} z^{9})

Solution steps

4 lo g_{b} (x) + 9 lo g_{b} (z)

Apply log rule:

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

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

= lo g_{b} (x^{4}) + 9 lo g_{b} (z)

Apply log rule:

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

9 lo g_{b} (z) = lo g_{b} (z^{9})

= lo g_{b} (x^{4}) + lo g_{b} (z^{9})

Apply log rule:

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

lo g_{b} (x^{4}) + lo g_{b} (z^{9}) = lo g_{b} (x^{4} z^{9})

= lo g_{b} (x^{4} z^{9})

ln (\frac{7000}{ln ( 4 )})

ln (\frac{4}{3 x ^{3} y})

lo g_{2} (\frac{7 r ^{7}}{z ^{5}})

lo g_{10} (\frac{x ^{2}}{5})

3 lo g_{b} (x) - lo g_{b} (2) - lo g_{b} (x + 2)

What is 4log_{b}(x)+9log_{b}(z) ?
The solution to 4log_{b}(x)+9log_{b}(z) is log_{b}(x^4z^9)