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

The solution to log_{3}(3 1/2) is log_{3}(7)-log_{3}(2)

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simplify log_{3}(3 1/2)

simplify

lo g_{3} (3 \frac{1}{2})

lo g_{3} (7) - lo g_{3} (2)

Decimal Notation

1.14031 \dots

Solution steps

lo g_{3} (3 \frac{1}{2})

Convert mixed numbers to improper fractions:

3 \frac{1}{2} = \frac{7}{2}

= lo g_{3} (\frac{7}{2})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{3} (\frac{7}{2}) = lo g_{3} (7) - lo g_{3} (2)

= lo g_{3} (7) - lo g_{3} (2)

a + a + a + a

\frac{1}{- \frac{2}{3}}

(f + g) (3)

\frac{5 x}{x - 6} + \frac{1}{6 - x}

3 + \frac{1}{5}

What is log_{3}(3 1/2) ?
The solution to log_{3}(3 1/2) is log_{3}(7)-log_{3}(2)