What is 9log_{6}(x)+18log_{6}(y) ?

The solution to 9log_{6}(x)+18log_{6}(y) is log_{6}(x^9y^{18})

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simplify 9log_{6}(x)+18log_{6}(y)

simplify

9 lo g_{6} (x) + 18 lo g_{6} (y)

lo g_{6} (x^{9} y^{18})

Solution steps

9 lo g_{6} (x) + 18 lo g_{6} (y)

Apply log rule:

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

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

= lo g_{6} (x^{9}) + 18 lo g_{6} (y)

Apply log rule:

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

18 lo g_{6} (y) = lo g_{6} (y^{18})

= lo g_{6} (x^{9}) + lo g_{6} (y^{18})

Apply log rule:

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

lo g_{6} (x^{9}) + lo g_{6} (y^{18}) = lo g_{6} (x^{9} y^{18})

= lo g_{6} (x^{9} y^{18})

lo g_{e} (\frac{( a ^{m} \cdot b ^{n} )}{c})

ln (\frac{x + y}{2}) \cdot 2

(ln (90) - ln (95)) \cdot 100

0.026 ln (0.135 \cdot 1 0^{16})

ln (\frac{x ^{4} y}{z ^{6}})

What is 9log_{6}(x)+18log_{6}(y) ?
The solution to 9log_{6}(x)+18log_{6}(y) is log_{6}(x^9y^{18})