What is 8log_{6}(x)+2log_{6}(z) ?

The solution to 8log_{6}(x)+2log_{6}(z) is log_{6}(x^8z^2)

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simplify 8log_{6}(x)+2log_{6}(z)

simplify

8 lo g_{6} (x) + 2 lo g_{6} (z)

lo g_{6} (x^{8} z^{2})

Solution steps

8 lo g_{6} (x) + 2 lo g_{6} (z)

Apply log rule:

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

8 lo g_{6} (x) = lo g_{6} (x^{8})

= lo g_{6} (x^{8}) + 2 lo g_{6} (z)

Apply log rule:

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

2 lo g_{6} (z) = lo g_{6} (z^{2})

= lo g_{6} (x^{8}) + lo g_{6} (z^{2})

Apply log rule:

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

lo g_{6} (x^{8}) + lo g_{6} (z^{2}) = lo g_{6} (x^{8} z^{2})

= lo g_{6} (x^{8} z^{2})

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

ln (3 x) + ln (2 y)

\frac{1}{3} \cdot ln (\frac{3 + 5}{2})

∣ 4 ln (2) - 1 ∣ + ∣ 4 ln (3) - 3 - 4 ln (2) ∣

\frac{2 ln ( \frac{55}{9} )}{ln ( 2 )}

What is 8log_{6}(x)+2log_{6}(z) ?
The solution to 8log_{6}(x)+2log_{6}(z) is log_{6}(x^8z^2)