What is (log_{10}(15))/(log_{10)(3)} ?

The solution to (log_{10}(15))/(log_{10)(3)} is log_{3}(15)

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simplify (log_{10}(15))/(log_{10)(3)}

simplify

\frac{lo g _{10} ( 15 )}{lo g _{10} ( 3 )}

lo g_{3} (15)

Decimal Notation

2.46497 \dots

Solution steps

\frac{lo g _{10} ( 15 )}{lo g _{10} ( 3 )}

Apply log rule:

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

\frac{lo g _{10} ( 15 )}{lo g _{10} ( 3 )} = lo g_{3} (15)

= lo g_{3} (15)

\frac{\frac{15 a - 35}{25} \cdot \frac{6 a ^{2}}{3 a - 7}}{\frac{a ^{2}}{35}}

\frac{1}{3} + \frac{4}{9}

(x + y) 3

\frac{2 5}{2}

\frac{2 π}{3} \div 4

What is (log_{10}(15))/(log_{10)(3)} ?
The solution to (log_{10}(15))/(log_{10)(3)} is log_{3}(15)