Question

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Answer 1

Answer:

Hiii...

According to the laws of indices, if the base is same then we can add the powers of the numbers....

So here,

2x+1+5=x+2

2x+6=x+2

x=2-6

x=-6

Hope this helps....❤❤☺☺

Answer 2

Answer: 6

Step-by-step explanation:

$\frac{8}{3}^{2x+1}$ ÷ $\frac{8}{3}^{5}=\frac{8}{3}^{x+2}$

WKT, $a^{m} /a^{n}=a^{m-n}$

⇒$\frac{8}{3}^{2x+1-5} = \frac{8}{3} ^{x+2}$

When bases are same, powers are equal.

⇒$2x+1-5=x+2$

⇒$2x-4=x+2$

⇒$2x-x=2+4$

⇒$x=6$