Question

Solve the following exponential equation.
6^x-16*6^-x=6
What is the decimal approx.
x≈

Answer 1

Let y = 6^x

Answer 2

Do I put that into decimal form?

Answer 3

Put what in decimal form? 6 ?????

Answer 4

I am supposed to put the equation answer into decimal form

Answer 5

Do you have an answer?

Answer 6

no

Answer 7

Then what do you have that you are wanting to put into decimal form?

Answer 8

Im trying to figure it out and don't understand

Answer 9

So I repeat: let y=6^x. Make the substitution.

Answer 10

Where do you get y?

Answer 11

It's a substitution I made up to expedite solving the problem.

Answer 12

Ok, sorry I don't understand....

Answer 13

Do you see 6^x in your equation?

Answer 14

yes

Answer 15

Erase it and put a y there.

Answer 16

ok

Answer 17

The second term is 16(6^-x). Rewrite that. Move the 6^-x to the bottom and change the sign of the exponent.

Answer 18

What do you mean move it to the bottom?

Answer 19

To the end of the equation?

Answer 20

\[a ^{-n}=\frac{1}{a^n}\]

Answer 21

Have you ever heard of that property?

Answer 22

omg I am lost

Answer 23

no

Answer 24

I am horrible at this. I have this and another problem I am trying to figure out as well.

Answer 25

So why do you have to do these problems that are completely beyond your level?

Answer 26

Have you ever had negative exponents at all?

Answer 27

All math is beyond me. I have never been good at it. Just not my strong point

Answer 28

I am pretty sure but I don't remember a lot of it

Answer 29

\[6^x-\frac{16}{6^x}=6\]

Answer 30

\[y-\frac{16}{y}=6\]

Answer 31

Write the left side with a common denominator.

Answer 32

y=58/7

Answer 33

I guess I can't figure out where that came from.

Answer 34

Ok nevermind