What is (log_{10}(x))/(log_{10)(y)} ?

The solution to (log_{10}(x))/(log_{10)(y)} is log_{y}(x)

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simplify (log_{10}(x))/(log_{10)(y)}

simplify

\frac{lo g _{10} ( x )}{lo g _{10} ( y )}

lo g_{y} (x)

Solution steps

\frac{lo g _{10} ( x )}{lo g _{10} ( y )}

Apply log rule:

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

\frac{lo g _{10} ( x )}{lo g _{10} ( y )} = lo g_{y} (x)

= lo g_{y} (x)

5 \cdot (- 4)

\frac{3}{2} \times 3

\frac{3}{2} \times 4

(7 x - 6)^{2}

\frac{12 x ^{3} y ^{2} z ^{4}}{18 x y ^{2} z ^{3}}

What is (log_{10}(x))/(log_{10)(y)} ?
The solution to (log_{10}(x))/(log_{10)(y)} is log_{y}(x)