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Which one of the following is a solution to the equation ${7}^{x-4}=3$ ?

A

$\cfrac{\ln(3)}{\ln(7)+4}$

B

$\cfrac{\ln(7)}{\ln(3)+4}$

C

$\cfrac{3}{7}+4$

D

$\cfrac{\ln3}{\ln7}+4$

E

$1$

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