What is 9log_{8}(x)+18log_{8}(y) ?

The solution to 9log_{8}(x)+18log_{8}(y) is log_{8}(x^9y^{18})

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simplify 9log_{8}(x)+18log_{8}(y)

simplify

9 lo g_{8} (x) + 18 lo g_{8} (y)

lo g_{8} (x^{9} y^{18})

Solution steps

9 lo g_{8} (x) + 18 lo g_{8} (y)

Apply log rule:

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

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

= lo g_{8} (x^{9}) + 18 lo g_{8} (y)

Apply log rule:

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

18 lo g_{8} (y) = lo g_{8} (y^{18})

= lo g_{8} (x^{9}) + lo g_{8} (y^{18})

Apply log rule:

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

lo g_{8} (x^{9}) + lo g_{8} (y^{18}) = lo g_{8} (x^{9} y^{18})

= lo g_{8} (x^{9} y^{18})

lo g_{10} (\frac{x ( x + 4 )}{( x + 6 ) ^{9}})

lo g_{10} (x) - 4 lo g_{10} (y) + 2 lo g_{10} (z)

ln (\frac{( 3 b ^{2} + 21 b )}{( 11 b + 77 )})

ln^{2} (e^{2} + 2 - 2) + \frac{1}{2} - ln^{2} (- 1)

4 ln (\frac{3}{2})

What is 9log_{8}(x)+18log_{8}(y) ?
The solution to 9log_{8}(x)+18log_{8}(y) is log_{8}(x^9y^{18})