Question

Check my answer :D

Answer 1

Hello,
your answer should be true if you put parenthesis!

=1/2[log base 9(57)-log base9 (74)]
=1/2 log base 9 (57)-1/2 log base 9(74)

Answer 2

Answer:

Yes the answer is correct explained in step-by-step explaination.

Step-by-step explanation:

Given the logarithmic expression

log(base b)square root 57/74

$\log_{b}\frac{\sqrt57}{74}$

Now we know that $\log \frac{m}{n} =\log m-\log n\\\log x^{\frac{1}{2} } =\frac{1}{2}\log x$

Hence, $log _{b}\sqrt57=\frac{1}{2}log _{b}57$

∴$log_{b}\frac{\sqrt57 }{74}=log_{b}{\sqrt57 }-log_{b}{54}$  

$\frac{1}{2}log_{b}57-log_{b}54$