Math, asked by poojainteligent12, 10 months ago

9^n+1 - 2×9^n = 7 find n ​

Answers

Answered by luvsaini76
8

Answer:

Answer is ∅→ ( 0 )

Step-by-step explanation:

for your knowledge the answer is 0 because

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Answered by syed2020ashaels
5

The given question is

 {9}^{n + 1}  - 2 \times  {9}^{n}  = 7

we have to find the value of n from the above expression.

The value of n can be obtained by simplifying the power values that power n+1 can be split into n and 1

Step 1: The expression is

 {9}^{ n+ 1}  - 2  \times {9}^{n}  = 7

step 2: The Power of the 9 can be split into

 {9}^{n}  \times  {9}^{1}  - 2 \times  {9}^{n}  = 7

step 3: Taking the common value we get

 {9}^{n} (9 - 2) = 7

 {9}^{n} (7) = 7

step 4: The 7 on the left side moves to the denominator of the right side

 {9}^{n}  =  \frac{7}{7}

 {9}^{n}  = 1

step 5: As we know the value 1 is obtained when the power is zero.

whatever may be the exponent if the power is zero the value will be always 1.

 {9}^{0}  = 1

Therefore, the value of n is obtained as 0.

The value of n in the given expression is 0

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