What is log_{3}(92)+1/2 log_{3}(x) ?

The solution to log_{3}(92)+1/2 log_{3}(x) is log_{3}(92x^{1/2})

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simplify log_{3}(92)+1/2 log_{3}(x)

simplify

lo g_{3} (92) + \frac{1}{2} lo g_{3} (x)

lo g_{3} (92 x^{\frac{1}{2}})

Solution steps

lo g_{3} (92) + \frac{1}{2} lo g_{3} (x)

Apply log rule:

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

\frac{1}{2} lo g_{3} (x) = lo g_{3} (x^{\frac{1}{2}})

= lo g_{3} (92) + lo g_{3} (x^{\frac{1}{2}})

Apply log rule:

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

lo g_{3} (92) + lo g_{3} (x^{\frac{1}{2}}) = lo g_{3} (92 x^{\frac{1}{2}})

= lo g_{3} (92 x^{\frac{1}{2}})

3 lo g_{3} (u) + 6 lo g_{3} (v) + lo g_{3} (w)

lo g_{10} (2 x^{2} - 5 x - 3) - lo g_{10} (x^{2} - 7 x + 12)

ln (v^{'} (t) - \frac{m ( t ) g ( m ( t ) )}{b}) - ln (- \frac{m ( t ) g ( m ( t ) )}{b})

lo g_{b} (\frac{b b}{( c + 1 ) ^{3}})

2 ln (x) - 3 ln (x - 1) - ln (x)

What is log_{3}(92)+1/2 log_{3}(x) ?
The solution to log_{3}(92)+1/2 log_{3}(x) is log_{3}(92x^{1/2})