Question

Help Solving Exponential Functions

Answer 1

`p(x) = 256 \\ p(x) = {2}^((x + 2)) \\ {2}^((x + 2)) = 256 \\ {2}^((x + 2)) = {2}^(8) \\( x + 2) = 8 \\ x =( 8 - 2) \\ \boxed{x = 6}`

x=6 is the right answer.

`243 = {3}^((x + 3)) \\ {3}^((x + 3)) = {3}^(5) \\ (x + 3) = 5 \\ x = (5 - 3) \\ \boxed{ x = 2}`

x=2 is the right answer.

Answer 2

Explanation:

4) p(x)=256

p(x)=2 ^ x+2

256=2 ^ x+2

2⁸= 2 ^ x+2

8=x+2

x=8-2=6

5)243=3 ^ x+3

3×3×3×3×3 = 3 ^ x+3

3⁵= 3^ x+3

5 = x+3

x=5-3=2