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What value of n makes the equation true?

(2x^9Y^n)(4x^2y^10) – 8x^11y^20
O 1
O 2
O 10
O 30​

User Dishan TD
by
6.5k points

2 Answers

3 votes
SE NÃO ME ENGANO A RESPOSTA É A 10
User Terry Brown
by
6.0k points
0 votes

Answer: (Brainlesssss plsssssss)

10

explaniion:

given that:

(2x^9y^n)(4x^2y^10)=8x^11y^20

the value of n that will make the inequality true will be found as follows;

(2x^9y^n)(4x^2y^10)=8x^11y^(n+10)

thus;

8x^11y^(n+10)=8x^11y^20

dividing through by 8x^11 we get;

y^(n+10)=y^20

introducing the natural logs we get;

(n+10)lny=20lny

lny will cancel out and we shall remain with;

n+10=20

thus

n=20-10

n=10

the answer is n=10

User Marian Ban
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5.7k points