expand the log expression;
logb(57/74)

Question

expand the log expression;
logb(57/74)

anonymous · Answer

$$\log_b(\frac{A}{B})=\log_b(A)-\log_b(B)$$

anonymous · Answer

would that be under a radical ?

jhannybean · Answer

following @satellite73 's formula there, what is A and what is B in your problem?

jhannybean · Answer

And I don't believe it would be under a radical.

anonymous · Answer

errr the square root sign

jhannybean · Answer

I don't see a square root sign? O_o

anonymous · Answer

1/2logb57+1/2logb74
1/2logb57-1/2logb74
$$\sqrt{logb-\log74}$$
logb1/2(57-74)

are my answer choices

jhannybean · Answer

oh, is your problem $\large \log_b \sqrt{\frac{57}{74}} $

anonymous · Answer

yes

jhannybean · Answer

Oh okay. This can be solved like.. $$\large \log_b \left(\frac{A}{B}\right)^c = c \log_b A - c \log_b B$$

jhannybean · Answer

in this case, your "c" or your power will be 1/2 as we change the square root into a "power" format.  Then we can just simply use our log identities.

anonymous · Answer

so 1/2logb57-1/2logb74

jhannybean · Answer

Yess good job :D

anonymous · Answer

but couldnt it alos be d?

jhannybean · Answer

mmhmm.

jhannybean · Answer

Nevermind. the "1/2" would come before the log b... the format of that solution statement is wrong. Therefore it cannot be D.

anonymous · Answer

oh yea i get it. ive never seen the 1/2 behind the log

anonymous · Answer

can you help me with one more thing?

jhannybean · Answer

$$\large \log_b\left(\frac{A}{B}\right)^c = c \cdot [\log_b (A) - \log_b (B)]$$

jhannybean · Answer

That means $c\log(A) - c\log(B)$

jhannybean · Answer

Sure thing.

anonymous · Answer

i know the answer is b or d but idk how to zoom in on my calculator to try to see the numbers

jhannybean · Answer

Which problem are we looking at? Unfortunately i cannot help you solve all of them because that would be violating the code of conduct of OS.

anonymous · Answer

oh im sorry i only meant to send you a screenshot but question 13

jhannybean · Answer

Alriiighty :)

anonymous · Answer

yea . idk how to zoom in

anonymous · Answer

here it is

jhannybean · Answer

Oh, you don't need to zoom in,you need to zoom out.

anonymous · Answer

but i have to see which equation so i have to see the #'s

jhannybean · Answer

Do you recall that $\large \ln(x) = \frac{1}{x}$?

anonymous · Answer

yes sir

anonymous · Answer

the answer is d?

jhannybean · Answer

So we can immediately eliminate the first choice,since that repr

jhannybean · Answer

represnts a parabola* and yes :) you are right.

jhannybean · Answer

anonymous · Answer

thank you !

jhannybean · Answer

no problemooo