What is the solution of log2x + 3125 = 3?
a. x = 1 over 3
b. x = 1
c. x = 7 over 3
d. x = 4

- anonymous

What is the solution of log2x + 3125 = 3?
a. x = 1 over 3
b. x = 1
c. x = 7 over 3
d. x = 4

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- anonymous

hey

- anonymous

hi there! i was just about to tag you.

- Nnesha

\[\huge\rm log_2 x +3125 =3\]
first) move the 3125 to the right side
2nd) convert log to exponential form

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## More answers

- anonymous

thats right. do you know how to convert to exponential form?

- anonymous

\[\log_{2}x = -3122 \]

- anonymous

okay, i'm on the right track

- Nnesha

|dw:1439212156992:dw|

- Nnesha

let us know what you get!

- anonymous

so we get 2^-3122 = x

- Nnesha

let her try it first :=)

- anonymous

@badsuns are you getting this?
I know I didn't realize she hadn't I thought you replying was her lol sorry.

- Nnesha

it's okay.

- anonymous

okay let me try to solve it

- anonymous

wait, this is totally wrong because i was not clear when writing the question. the log is 2x + 3.

- anonymous

so so sorry about that!

- Nnesha

\[\huge\rm log_2 (2x+3) =3\]
like ths ?

- anonymous

ouch ok. So is it like this?\[\log_{2x+3}125 \]

- anonymous

yes :)

- anonymous

which one lol

- anonymous

@twistnflip wrote the equation correctly.

- anonymous

i didn't see @Nnesha's reply until i scrolled up, sorry about that.

- anonymous

ok. so thats why none of your answer choices matched my answer lol

- anonymous

really sorry about that again

- Nnesha

\[\log_{2x+3} 125 =3 \] like this ?

- anonymous

yes

- Nnesha

alright so now first step is to convert log to exponential form
base is 2x+3

- anonymous

right. remember how to do that?

- anonymous

so it would be (2x+3)^(3) = 125 ?

- Nnesha

perfect!!

- Nnesha

now take cube root both sides to cancel out cube

- anonymous

yes thats awesome. now do you know how to take cube roots?

- Nnesha

\[\sqrt[3]{(2x+3)^3}=\sqrt[3]{125}\] solve for x

- anonymous

okay, let me try that out.

- anonymous

what do you get?

- anonymous

you should get:
2x+3 = 5
-3 -3
2x = 2
x = 1

- Nnesha

sigh.

- Nnesha

lol

- anonymous

Answer choice B. What lol she was taking way too long

- anonymous

Just wanted to make sure she wasn't stuck

- Nnesha

it's okay we should give them a few mints

- anonymous

ugh sorry my internet is acting up, i had to reset it. let me try and see i got the answer by doing it correctly.

- anonymous

no, i keep doing something wrong, not even sure what.

- anonymous

waaaaait, i know what i did. i got it now.

- Nnesha

nice.

- anonymous

Awesome!! Let me know if you need anything... Medal?

- anonymous

I will give Nnesha one if you give me one

- anonymous

thank you guys so so much. it's hard for me to remember how to do this since i haven't been in an actual class for about two months. thanks for your patience and help.

- Nnesha

i'm okay without medal.
so no big deal.

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