What is (log_{10}(7))/(log_{10)(5)} ?

The solution to (log_{10}(7))/(log_{10)(5)} is log_{5}(7)

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simplify (log_{10}(7))/(log_{10)(5)}

simplify

\frac{lo g _{10} ( 7 )}{lo g _{10} ( 5 )}

lo g_{5} (7)

Decimal Notation

1.20906 \dots

Solution steps

\frac{lo g _{10} ( 7 )}{lo g _{10} ( 5 )}

Apply log rule:

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

\frac{lo g _{10} ( 7 )}{lo g _{10} ( 5 )} = lo g_{5} (7)

= lo g_{5} (7)

- \frac{2}{2} + 1

lo g_{\frac{1}{2}} (7)

3 x^{4} + 6 x^{2} - 9

\frac{13}{7} - \frac{1}{9}

x y^{2} + y

What is (log_{10}(7))/(log_{10)(5)} ?
The solution to (log_{10}(7))/(log_{10)(5)} is log_{5}(7)