Question

8×2^n+2=32
explain I'm breif​

Answer 1

Answer:

8 × 2^n+2. = 32

2^3. × 2^n+2. = 2^5

2^ n+5 = 2^5

n+5. = 5

n = 0.

Answer 2

Answer:

$8\cdot \:2^{n+2}=32\quad :\quad n=0$

Step-by-step explanation:

$8\cdot \:2^{n+2}=32$

$\mathrm{Divide\:both\:sides\:by\:}8$

$\frac{8\cdot \:2^{n+2}}{8}=\frac{32}{8}$

$\mathrm{Simplify}$

$2^{n+2}=4$

$\mathrm{Convert\:}4\mathrm{\:to\:base\:}2$

$4=2^2$

$2^{n+2}=2^2$

$\mathrm{If\:}a^{f\left(x\right)}=a^{g\left(x\right)}\mathrm{,\:then\:}f\left(x\right)=g\left(x\right)$

$n+2=2$

$\mathrm{Solve\:}\:n+2=2$

$n+2=2$

$\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}$

$n+2-2=2-2$

$\mathrm{Simplify}$

$n=0$