What is (2log_{10}(3)+log_{10}(2))/(log_{10)(3)} ?

The solution to (2log_{10}(3)+log_{10}(2))/(log_{10)(3)} is log_{3}(18)

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simplify (2log_{10}(3)+log_{10}(2))/(log_{10)(3)}

simplify

\frac{2 lo g _{10} ( 3 ) + lo g _{10} ( 2 )}{lo g _{10} ( 3 )}

lo g_{3} (18)

Decimal Notation

2.63092 \dots

Solution steps

\frac{2 lo g _{10} ( 3 ) + lo g _{10} ( 2 )}{lo g _{10} ( 3 )}

2 lo g_{10} (3) + lo g_{10} (2) = lo g_{10} (18)

= \frac{lo g _{10} ( 18 )}{lo g _{10} ( 3 )}

Apply log rule:

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

\frac{lo g _{10} ( 18 )}{lo g _{10} ( 3 )} = lo g_{3} (18)

= lo g_{3} (18)

ln (\frac{x ^{3} x ^{2} + 2}{( x + 2 ) ^{7}})

ln (\frac{99}{100})

ln (\frac{x + 1}{e ^{5 x}})

ln (x^{3}) - ln (x^{6}) + ln (x^{4})

\frac{1}{2} (ln (2) + 2 ln (x) + 5 ln (m) - H)

What is (2log_{10}(3)+log_{10}(2))/(log_{10)(3)} ?
The solution to (2log_{10}(3)+log_{10}(2))/(log_{10)(3)} is log_{3}(18)