What is 8log_{b}(x)+9log_{b}(z) ?

The solution to 8log_{b}(x)+9log_{b}(z) is log_{b}(x^8z^9)

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simplify 8log_{b}(x)+9log_{b}(z)

simplify

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

lo g_{b} (x^{8} z^{9})

Solution steps

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

Apply log rule:

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

8 lo g_{b} (x) = lo g_{b} (x^{8})

= lo g_{b} (x^{8}) + 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^{8}) + lo g_{b} (z^{9})

Apply log rule:

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

lo g_{b} (x^{8}) + lo g_{b} (z^{9}) = lo g_{b} (x^{8} z^{9})

= lo g_{b} (x^{8} z^{9})

lo g_{4} (5) - lo g_{4} (9)

lo g_{2} (x + 1) - lo g_{2} (x - 1)

\frac{1}{9} (lo g_{2} (z) + 4 lo g_{2} (y))

\frac{3 lo g _{10} ( 2 )}{lo g _{10} ( 2 ) - lo g _{10} ( 3 )}

lo g_{10} (z^{6} y)

What is 8log_{b}(x)+9log_{b}(z) ?
The solution to 8log_{b}(x)+9log_{b}(z) is log_{b}(x^8z^9)