Question

What is the solution of \[\log _{2x+3} 125 = 3\]

Answer 1

x=1/3
x=1
x=7/3
x=4

Answer 2

Lets rewrite it as \( (2x+3)^3=125 \)

Answer 3

2\[2x^{3} + 27 = 125\]

Answer 4

nope \((2x+3)^3 = (2x+3)(2x+3)(2x+3) \)

Answer 5

Do you multiply from there?

Answer 6

hmm I am thinking of taking an easier route

Answer 7

Let w=2x+3
so we can rewite it as \( w^3=125\)
did u follow that?

Answer 8

what would do after

Answer 9

u didnt follow lol
ok ill just continue maybe ull follow what i did once u see the full picture

Answer 10

probably lol

Answer 11

\( \large \sqrt[3]{w^3
}= \sqrt[3]{125} \)

\( \large w= \sqrt[3]{125} \)

\(w=5\)

Answer 12

I basically tried to isolate the w or in other words solve for w

Answer 13

Sadly, thats not one of the answers

Answer 14

now we know that w=2x+3
so lets subsitute our w for 2x+3
2x+3=5
2x=2
x=1

Answer 15

hahahah that is your answer lol

Answer 16

1 is an answer

Answer 17

U so didnt follow what i did but alright at least u got the answer :)

Answer 18

thanks lol

Answer 19

What is the solution to the equation \[\frac{ 1 }{\sqrt{8}} = 4^{(m+3)}\]

Answer 20

x=-15/4
x=-11/4
x=5/4
x=9/4