What is (log_{10}(2))/(log_{10)(3)} ?

The solution to (log_{10}(2))/(log_{10)(3)} is log_{3}(2)

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simplify (log_{10}(2))/(log_{10)(3)}

simplify

\frac{lo g _{10} ( 2 )}{lo g _{10} ( 3 )}

lo g_{3} (2)

Decimal Notation

0.63092 \dots

Solution steps

\frac{lo g _{10} ( 2 )}{lo g _{10} ( 3 )}

Apply log rule:

\frac{lo g _{c} ( b )}{lo g _{c} ( a )} = lo g_{a} (b)

\frac{lo g _{10} ( 2 )}{lo g _{10} ( 3 )} = lo g_{3} (2)

= lo g_{3} (2)

\frac{x ^{2} - x - 2}{x ^{2} - 1}

5 \times 5

\frac{5}{x + 6} - \frac{3}{x ^{2} + 2 x - 24}

\frac{42}{14}

\frac{4 x - 24}{x ^{2} - 36}

What is (log_{10}(2))/(log_{10)(3)} ?
The solution to (log_{10}(2))/(log_{10)(3)} is log_{3}(2)