Math, asked by nsjoshi19, 10 months ago

if 16×8^n+2=2^m then n is equal to​

Answers

Answered by avengers22
3

Answer:

the ans is coming in terms of m

Attachments:
Answered by windyyork
4

The value of n is -5.

Step-by-step explanation:

Since we have given that

16\times 8^{n+2}=2^n

Since we can write it as:

16=2^4

8=2^3

So, it becomes,

2^4\times 2^{3(n+2)}=2^n\\\\2^4\times 2^{3n+6}=2^n\\\\2^{4+3n+6}=2^n\\\\2^{3n+10}=2^n\\\\\text{Comparing the powers of same base}\\\\3n+10=n\\\\10=n-3n\\\\10=-2n\\\\n=-5

Hence, the value of n is -5.

# learn more:

If 16×8^n+2=2^m then n is equal to​

https://brainly.in/question/12248800

Similar questions