Question

Use graphs to solve the equations

Answer 1

\[2^x=5; 3-2^{-x}=0\]

Answer 2

They are separate equations btw, sorry if its not clear

Answer 3

So i'm just confused on what they want me to actually do honestly

Answer 4

I first thought they wanted me to use logarithms to figure out but apparently not :/

Answer 5

Subtract 5 from both sides to get
\[\Large 2^x = 5\]
\[\Large 2^x-5 = 5-5\]
\[\Large 2^x-5 = 0\]

Answer 6

Now graph \(\LARGE y = 2^x - 5\) and look for the x intercepts

I recommend desmos

https://www.desmos.com/calculator

Answer 7

alrighty will do

Answer 8

so i found that 2.5 is the x intercept if im not mistaken

Answer 9

after you graphed `y = 2^x - 5`, you can click the point where the x intercept is to have the coordinates pop up

Answer 10

what coordinates do you see?

Answer 11

(2.5,0)

Answer 12

see the attached screenshot

Answer 13

ohh my bad, i wrote the equation wrong im sorry

Answer 14

so its (2.322,0)

Answer 15

yes, so the approximate solution to \(\Large 2^x = 5\) is \(\LARGE x \approx 2.322\)

Answer 16

oh ok alright thank you, I should be able to do the other problem now :D

Answer 17

ok tell me what you get for that one

Answer 18

will do

Answer 19

x=-1.585

Answer 20

good

Answer 21

alright thank you so much for clearing that up for me :D

Answer 22

you're welcome