What is 8log_{6}(u)+9log_{6}(v) ?

The solution to 8log_{6}(u)+9log_{6}(v) is log_{6}(u^8v^9)

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simplify 8log_{6}(u)+9log_{6}(v)

simplify

8 lo g_{6} (u) + 9 lo g_{6} (v)

lo g_{6} (u^{8} v^{9})

Solution steps

8 lo g_{6} (u) + 9 lo g_{6} (v)

Apply log rule:

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

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

= lo g_{6} (u^{8}) + 9 lo g_{6} (v)

Apply log rule:

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

9 lo g_{6} (v) = lo g_{6} (v^{9})

= lo g_{6} (u^{8}) + lo g_{6} (v^{9})

Apply log rule:

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

lo g_{6} (u^{8}) + lo g_{6} (v^{9}) = lo g_{6} (u^{8} v^{9})

= lo g_{6} (u^{8} v^{9})

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

lo g_{10} (\frac{y}{z ^{9}})

2 x (ln (x) + ln (2)) - 2 x + e

ln (a t e^{c t})

0.5 lo g_{10} (x) + 0.5 lo g_{10} (y)

What is 8log_{6}(u)+9log_{6}(v) ?
The solution to 8log_{6}(u)+9log_{6}(v) is log_{6}(u^8v^9)