What is log_{3}(sqrt(27))+log_{3}(81) ?

The solution to log_{3}(sqrt(27))+log_{3}(81) is 11/2

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simplify log_{3}(sqrt(27))+log_{3}(81)

simplify

lo g_{3} (27) + lo g_{3} (81)

\frac{11}{2}

Decimal Notation

5.5

Solution steps

lo g_{3} (27) + lo g_{3} (81)

lo g_{3} (27) = \frac{3}{2}

lo g_{3} (81) = 4

= \frac{3}{2} + 4

\frac{3}{2} + 4 = \frac{11}{2}

= \frac{11}{2}

\frac{sin ( x )}{cos ( x )} + \frac{cos ( x )}{sin ( x )}

\frac{( \frac{3}{4} ) ^{6}}{( \frac{3}{4} ) ^{- 3}}

(\frac{2}{5})^{- 3} \cdot (\frac{3}{7})^{- 3}

(\frac{2}{3})^{5} \cdot (\frac{2}{3})^{3}

(x - 1) (x + 1)

What is log_{3}(sqrt(27))+log_{3}(81) ?
The solution to log_{3}(sqrt(27))+log_{3}(81) is 11/2