What is simplify-3log_{ba}(b)-3log_{ba}(a) ?

The solution to simplify-3log_{ba}(b)-3log_{ba}(a) is -log_{ba}(b^3a^3)

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simplify-3log_{ba}(b)-3log_{ba}(a)

simplify

- 3 lo g_{ba} (b) - 3 lo g_{ba} (a)

- lo g_{ba} (b^{3} a^{3})

Solution steps

- 3 lo g_{ba} (b) - 3 lo g_{ba} (a)

Apply log rule:

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

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

= - lo g_{ba} (b^{3}) - 3 lo g_{ba} (a)

Apply log rule:

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

3 lo g_{ba} (a) = lo g_{ba} (a^{3})

= - lo g_{ba} (b^{3}) - lo g_{ba} (a^{3})

Rewrite

- lo g_{ba} (b^{3}) - lo g_{ba} (a^{3})

- (lo g_{ba} (b^{3}) + lo g_{ba} (a^{3}))

= - (lo g_{ba} (b^{3}) + lo g_{ba} (a^{3}))

Apply log rule:

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

lo g_{ba} (b^{3}) + lo g_{ba} (a^{3}) = lo g_{ba} (b^{3} a^{3})

= - lo g_{ba} (b^{3} a^{3})

ln (x (1 - y))

- lo g_{10} (6.8 \cdot 1 0^{- 1})

4 lo g_{b} (y) + 6 lo g_{b} (z)

\frac{ln ( 5 )}{ln ( 2 ) - ln ( 5 )}

lo g_{3} (\frac{1}{9 ( 8 )})

What is simplify-3log_{ba}(b)-3log_{ba}(a) ?
The solution to simplify-3log_{ba}(b)-3log_{ba}(a) is -log_{ba}(b^3a^3)