Question

.please give my answer step by step​

Answer 1

Answer:

2^(x + 2) = 256

» 2^x = 256/4

» 2^x = 64

» 2^x = 2^6

» x = 6

Answer 2

Answer:

Step-by-step explanation:

2$2^{x+2}$  =256

Use the rules of exponents and logarithms to solve the equation.

$2^{x+2}$ =256

Take the logarithm of both sides of the equation.

log($2^{x+2}$ )=log(256)

The logarithm of a number raised to a power is the power times the logarithm of the number.

(x+2)log(2)=log(256)

Divide both sides by log(2).

x+2= log(256)/log(2)  

By the change-of-base formula log(a)/log(b)  =$log_{b}$(a).

x+2= $log_{b}$ (256)

Subtract 2 from both sides of the equation.

x=8−2

x = 6