What is (log_{10}(4))/(log_{10)(3)} ?

The solution to (log_{10}(4))/(log_{10)(3)} is 2log_{3}(2)

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simplify (log_{10}(4))/(log_{10)(3)}

simplify

\frac{lo g _{10} ( 4 )}{lo g _{10} ( 3 )}

2 lo g_{3} (2)

Decimal Notation

1.26185 \dots

Solution steps

\frac{lo g _{10} ( 4 )}{lo g _{10} ( 3 )}

lo g_{10} (4) = 2 lo g_{10} (2)

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

Apply log rule:

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

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

= 2 lo g_{3} (2)

(5 + x) (5 - x)

(5 x^{4} - y^{3})^{2}

(2 x + 1) (x - 2) (x + 3)

\frac{2}{3} lo g_{10} (\frac{1 0 ^{12}}{1 0 ^{4.4}})

\frac{x ^{5} + 243}{x + 3}

What is (log_{10}(4))/(log_{10)(3)} ?
The solution to (log_{10}(4))/(log_{10)(3)} is 2log_{3}(2)