What is the answer to x=(log_{10}(7))/(log_{10)(3)} ?

The answer to x=(log_{10}(7))/(log_{10)(3)} is x=log_{3}(7)

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x=(log_{10}(7))/(log_{10)(3)}

x = \frac{lo g _{10} ( 7 )}{lo g _{10} ( 3 )}

x = lo g_{3} (7)

Decimal Notation

x = 1.77124 \dots

Solution steps

x = \frac{lo g _{10} ( 7 )}{lo g _{10} ( 3 )}

Apply log rule:

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

\frac{lo g _{10} ( 7 )}{lo g _{10} ( 3 )} = lo g_{3} (7)

x = lo g_{3} (7)

4^{4} = x + 1

7 - 3 m = 7 (1 - m)

T = \frac{4 ^{3} ( 8 \frac{4}{3} ) ^{- n}}{( 4 ( 4 ^{- 1} ) ^{n} ) ^{2}}

\frac{x + 3}{2} = \frac{2 x}{5}

(x + 5) (x - 1) = (x + 1)^{2}

What is the answer to x=(log_{10}(7))/(log_{10)(3)} ?
The answer to x=(log_{10}(7))/(log_{10)(3)} is x=log_{3}(7)
Solve for x: x=(log_{10}(7))/(log_{10)(3)}
The solution is x=log_{3}(7)