## anonymous 5 years ago Write the expression logb(7/sqrtx) - logb (sqrt 7x) as a single logarithm

1. nowhereman

apply the logarithm rules!

2. anonymous

log x - log y = log (x/y) so the answer is log(7root(7x)/root(x))

3. nowhereman

The rule is correct, but you didn't apply it correctly. Also you can simplify that even more!

4. anonymous

oh sorry..division mistake. log(root(7)/x)

5. anonymous

Yes ive solved this 4 times and cant cat the right answer. possible answers are: $A. logb (\sqrt{7}/x) B. logb(x ^{3/2}\sqrt{7}) C. logb(7 ^{3/2}\sqrt{x})$

6. anonymous

$D. logb \sqrt{7x} E. logb(x/\sqrt{7})$

7. nowhereman

(A) is correct.