- #1

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## Homework Statement

4

^{x}+ 2

^{(x+1)}= 60

## Homework Equations

N/A

## The Attempt at a Solution

4

^{x}+ 2

^{(x+1)}= 60

2

^{2x}+ 2

^{(x+1)}= 60

I don't know where to go from there.

- Thread starter Cuisine123
- Start date

- #1

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4

N/A

4

2

I don't know where to go from there.

- #2

Mentallic

Homework Helper

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edit: ehild has the correct solution.

Last edited:

- #3

ehild

Homework Helper

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## The Attempt at a Solution

4^{x}+ 2^{(x+1)}= 60

2^{2x}+ 2^{(x+1)}= 60

I don't know where to go from there.

You are on the right track. Note that [itex]2^{(x+1)}=2\cdot 2^x[/itex] and [itex]2^{2x}= (2^x)^2[/itex]. Then choose 2^x as new variable and solve the resultant second order equation.

ehild

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