What is (log_{10}(5))/(log_{10)(3)} ?

The solution to (log_{10}(5))/(log_{10)(3)} is log_{3}(5)

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simplify (log_{10}(5))/(log_{10)(3)}

simplify

\frac{lo g _{10} ( 5 )}{lo g _{10} ( 3 )}

lo g_{3} (5)

Decimal Notation

1.46497 \dots

Solution steps

\frac{lo g _{10} ( 5 )}{lo g _{10} ( 3 )}

Apply log rule:

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

\frac{lo g _{10} ( 5 )}{lo g _{10} ( 3 )} = lo g_{3} (5)

= lo g_{3} (5)

(b - a)^{2}

(1 + x^{2})^{3}

(7 - 10 i) - (- 9 - 10 i)

(3 - t)^{3}

(x + 4) (x^{2} + 3 x + 2)

What is (log_{10}(5))/(log_{10)(3)} ?
The solution to (log_{10}(5))/(log_{10)(3)} is log_{3}(5)