Answer to Question #192681 in Algebra for will

Question

Solving Exponential Equations Practice:

1. 2^x+ 3 = 11
2. 2^x+3 = 16
3. 3^x+1 - 7 = 20

Answer 1

1.

$2^x +3 = 11 \\ 2^x = 11 -3 \\ 2^x = 8 \\ 2^x = 2^3 \\ x = 3$

2.

$2^{x+3} = 16 \\ 2^{x+3} = 2^4 \\ x+3 = 4 \\ x = 4-3 \\ x=1$

3.

$3^{x+1}-7 = 20 \\ 3^{x+1} = 20 +7 \\ 3^{x+1} = 27 \\ 3^{x+1} = 3^3 \\ x+1 = 3 \\ x = 3-1 \\ x=2$