Question

Plz.... Solve this question

Maths

class 9

Number system

Answer 1

Answer:

24

Step-by-step explanation:

2m+2(m+1)=96

2m+2m+2=96

4m=94

m=94/4=24(Answer)

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Answer 2

Answer:

m = 5

Step-by-step explanation:

Given,

${2}^{m} + {2}^{1 + m} = 96$

$= > {2}^{m} + {2}^{1 + m} = 32 + 64$

$= > {2}^{m} + {2}^{1 + m} = {2}^{5} + {2}^{6}$

$= > {2}^{m} + {2}^{1 + m} = {2}^{5} + {2}^{1 + 5}$

Since,

Both sides of an equation are equal so we get,

m = 5 (Ans)