What is 6log_{b}(x)+3log_{b}(z) ?

The solution to 6log_{b}(x)+3log_{b}(z) is log_{b}(x^6z^3)

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simplify 6log_{b}(x)+3log_{b}(z)

simplify

6 lo g_{b} (x) + 3 lo g_{b} (z)

lo g_{b} (x^{6} z^{3})

Solution steps

6 lo g_{b} (x) + 3 lo g_{b} (z)

Apply log rule:

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

6 lo g_{b} (x) = lo g_{b} (x^{6})

= lo g_{b} (x^{6}) + 3 lo g_{b} (z)

Apply log rule:

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

3 lo g_{b} (z) = lo g_{b} (z^{3})

= lo g_{b} (x^{6}) + lo g_{b} (z^{3})

Apply log rule:

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

lo g_{b} (x^{6}) + lo g_{b} (z^{3}) = lo g_{b} (x^{6} z^{3})

= lo g_{b} (x^{6} z^{3})

lo g_{4} (x) + lo g_{4} (x + 1)

\frac{- ln ( \frac{a}{P} - b ) + ln ( \frac{a}{P _{0}} - b )}{a}

lo g_{8} (\frac{w ^{4} x ^{2}}{yz})

ln (x (x + 8))

ln (\frac{8 x}{y})

What is 6log_{b}(x)+3log_{b}(z) ?
The solution to 6log_{b}(x)+3log_{b}(z) is log_{b}(x^6z^3)