What is (log_{10}(2))/(log_{10)(5)} ?

The solution to (log_{10}(2))/(log_{10)(5)} is log_{5}(2)

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simplify (log_{10}(2))/(log_{10)(5)}

simplify

\frac{lo g _{10} ( 2 )}{lo g _{10} ( 5 )}

lo g_{5} (2)

Decimal Notation

0.43067 \dots

Solution steps

\frac{lo g _{10} ( 2 )}{lo g _{10} ( 5 )}

Apply log rule:

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

\frac{lo g _{10} ( 2 )}{lo g _{10} ( 5 )} = lo g_{5} (2)

= lo g_{5} (2)

(2 x + 1) \cdot (2 x - 1)

\frac{1 - cos ^{2} ( x )}{1 + cos ( x )}

1 0^{- 5.6}

lo g_{10} (5^{2})

1214

What is (log_{10}(2))/(log_{10)(5)} ?
The solution to (log_{10}(2))/(log_{10)(5)} is log_{5}(2)