Question

Please help me solve this ;-;

Answer 1

9514 1404 393

Answer:

C log3(√((x -4)/x)

Explanation:

The applicable rules of logarithms are ...

log(a/b) = log(a) -log(b)

log(a^n) = n·log(a)

The base is irrelevant, as long as all logs are to the same base.

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`(1)/(2)(\log_3{(x-4)}-\log_3{(x)})=(1)/(2)\log_3((x-4)/(x))=\boxed{\log_3\left(\sqrt{(x-4)/(x)}\right)}`