What is (log_{10}(7))/(log_{10)(4)} ?

The solution to (log_{10}(7))/(log_{10)(4)} is log_{4}(7)

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simplify (log_{10}(7))/(log_{10)(4)}

simplify

\frac{lo g _{10} ( 7 )}{lo g _{10} ( 4 )}

lo g_{4} (7)

Decimal

1.40367 \dots

Solution steps

\frac{lo g _{10} ( 7 )}{lo g _{10} ( 4 )}

Apply log rule:

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

\frac{lo g _{10} ( 7 )}{lo g _{10} ( 4 )} = lo g_{4} (7)

= lo g_{4} (7)

3 3^{5}

\frac{3}{5} + \frac{3}{15} - \frac{3}{10}

(x^{2} y^{3}) (x^{- 2} y^{- 2})

x^{2} 4 x y^{- 2} z^{3}

s (s + 10) (s + 8)

What is (log_{10}(7))/(log_{10)(4)} ?
The solution to (log_{10}(7))/(log_{10)(4)} is log_{4}(7)