Question

Solve the equation for x and round your answer to the nearest hundredth.
5x + 14 = 26

Answer 1

subtract 14 on both sides then divide 5 on both sides for your answer

Answer 2

sorry. 5^x

Answer 3

subtract 14 both sides.
use natural log on both sides.
bring down x.
divide ln5 on both sides. you get x

Answer 4

You got it?
you could also do..
when you subtract 14 both sides..

use logx a = b
which is also
x^b = a

Answer 5

no im kind of confused

Answer 6

...hm...
its 5^x + 14 = 26, right?
show me what you got so far from what is mentioned above.

Answer 7

log5^x=log12 right?

Answer 8

I got ln5^x=2.48

Answer 9

yes. that is correct. but I see you are not in the natural log yet.

5^x + 14 = 26
5^x = 12
log(base 5) 12 = x

if you do ln...
ln5^x = ln12
xln5 = ln 12
x = ln12/ln5
x = log(base 5) 12

Answer 10

ln5^x = 2.48 is right but that is not your purpose. what you want is x. and so, that is what i mentioned.

Answer 11

okay. well after i enter it into my calculator i still have the wrong answer.

Answer 12

what did you enter in your calculator?

Answer 13

log(5)*12

Answer 14

log doesn't work that way.
try:
log(12)/log(5) <---- 5 would be considered the base.

then try:
5^(log(12)/log(5)) + 14

Answer 15

because when you type log(n) in the calculator, its in base 10.

Answer 16

i thought that's why i put log(5) doesn't that make 5 the base?...

Answer 17

no...
when you type in:
log(5) <-- the calculator would treat this as log(5)/log(10) <---the base is 10

and so when you type log(12)/log(5):
the calculator would see this as:
( log(12) / log(10) ) / ( log(5) / log(10) )
the log(10)'s would cancel.

Answer 18

okay i get it now

Answer 19

Ok thats good.

Answer 20

thankyou

Answer 21

:) no probs. you did understand how we got the x, right? not just the calculator part.

Answer 22

yeah i got it. i just did another one :)

Answer 23

Ok cool.