Question

2^(x-4)+10=22

Answer 1

you did see that whole last post didn't you?

Answer 2

I didn't =(

Answer 3

no...

i don't mind... :)

Answer 4

Thank you so much! =) =)

Answer 5

solve again...
subtract 10 both sides. take natural log both sides...

Answer 6

2^(x-4)=12

Answer 7

natural log both sides...

Answer 8

ln2^(x-4)=ln12

Answer 9

i'm getting ahead of myself... sorry.

Answer 10

Thats okay! =)

Answer 11

ok.. good. utilizing the properties of logs, you can bring the exponent of (x-4) down to ln2

Answer 12

Which would bring me to (x-4)ln2 = ln12, right?

Answer 13

yes...:)

Answer 14

now divide by ln2 both sides

Answer 15

Which would make it (x-4) = ln6

Answer 16

the right side should be (ln12)/(ln2)

Answer 17

So (x-4)=(ln12)/(ln6)

Answer 18

yep... now add 4 to both sides and you'll have your x =

Answer 19

x= (ln12)/(ln2)+4

Answer 20

that's the exact form... if you want an approximation, punch that into your calculator.

Answer 21

Once rounded I got 7.58

Answer 22

lemme double check again...

Answer 23

ok.. that's what i got.. 7.5849
lemme stick it back into the equation...

Answer 24

ok... it works... :)

Answer 25

YAY! =) Thank you!

Answer 26

yw...