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)

9 x^{2} + 12 x + 3

\frac{5}{3} - \frac{4}{9}

+ \frac{5}{2} \cdot + 8

(3 - 2 x)^{4}

- 1 \div \frac{1}{4}

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