# Thread: Solving an exponential equation question 2

1. ## Solving an exponential equation question 2

solve the exponential function:

4(2^x) + 31(2^x) - 8 = 0

2. Originally Posted by math123456
solve the exponential function:

4(2^x) + 31(2^x) - 8 = 0
It simplifies to $2^x = \frac{8}{35}$. Solve this.

3. ## Solving an exponential equation question 2

How do you solve for x:

2^x = 8/35

4. Originally Posted by math123456
solve for x:

2^x = 8/35
Take logs:

$x \log(2)=\log(8/35)$

and solve.

CB

5. how would you answer that in exact form

6. Originally Posted by CaptainBlack
Take logs:

$x \log(2)=\log(8/35)$

and solve.

CB
Originally Posted by math123456
how would you answer that in exact form
Divide through by log(2) to isolate it. The exact form will have log terms in it: