anonymous
  • 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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
hey
anonymous
  • anonymous
hi there! i was just about to tag you.
Nnesha
  • 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
  • anonymous
thats right. do you know how to convert to exponential form?
anonymous
  • anonymous
\[\log_{2}x = -3122 \]
anonymous
  • anonymous
okay, i'm on the right track
Nnesha
  • Nnesha
|dw:1439212156992:dw|
Nnesha
  • Nnesha
let us know what you get!
anonymous
  • anonymous
so we get 2^-3122 = x
Nnesha
  • Nnesha
let her try it first :=)
anonymous
  • anonymous
@badsuns are you getting this? I know I didn't realize she hadn't I thought you replying was her lol sorry.
Nnesha
  • Nnesha
it's okay.
anonymous
  • anonymous
okay let me try to solve it
anonymous
  • anonymous
wait, this is totally wrong because i was not clear when writing the question. the log is 2x + 3.
anonymous
  • anonymous
so so sorry about that!
Nnesha
  • Nnesha
\[\huge\rm log_2 (2x+3) =3\] like ths ?
anonymous
  • anonymous
ouch ok. So is it like this?\[\log_{2x+3}125 \]
anonymous
  • anonymous
yes :)
anonymous
  • anonymous
which one lol
anonymous
  • anonymous
@twistnflip wrote the equation correctly.
anonymous
  • anonymous
i didn't see @Nnesha's reply until i scrolled up, sorry about that.
anonymous
  • anonymous
ok. so thats why none of your answer choices matched my answer lol
anonymous
  • anonymous
really sorry about that again
Nnesha
  • Nnesha
\[\log_{2x+3} 125 =3 \] like this ?
anonymous
  • anonymous
yes
Nnesha
  • Nnesha
alright so now first step is to convert log to exponential form base is 2x+3
anonymous
  • anonymous
right. remember how to do that?
anonymous
  • anonymous
so it would be (2x+3)^(3) = 125 ?
Nnesha
  • Nnesha
perfect!!
Nnesha
  • Nnesha
now take cube root both sides to cancel out cube
anonymous
  • anonymous
yes thats awesome. now do you know how to take cube roots?
Nnesha
  • Nnesha
\[\sqrt[3]{(2x+3)^3}=\sqrt[3]{125}\] solve for x
anonymous
  • anonymous
okay, let me try that out.
anonymous
  • anonymous
what do you get?
anonymous
  • anonymous
you should get: 2x+3 = 5 -3 -3 2x = 2 x = 1
Nnesha
  • Nnesha
sigh.
Nnesha
  • Nnesha
lol
anonymous
  • anonymous
Answer choice B. What lol she was taking way too long
anonymous
  • anonymous
Just wanted to make sure she wasn't stuck
Nnesha
  • Nnesha
it's okay we should give them a few mints
anonymous
  • 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
  • anonymous
no, i keep doing something wrong, not even sure what.
anonymous
  • anonymous
waaaaait, i know what i did. i got it now.
Nnesha
  • Nnesha
nice.
anonymous
  • anonymous
Awesome!! Let me know if you need anything... Medal?
anonymous
  • anonymous
I will give Nnesha one if you give me one
anonymous
  • 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
  • Nnesha
i'm okay without medal. so no big deal.

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