Find the value of n.
Pls help me with this question
Answers
Answer:
The value of n is = 2
Step-by-step explanation:
The given equation is,
(3/4) ^n-1 × (16/9) ^1-n = 27/64
Now we have to solve the given equation,
So, solving the given equation,
(3/4) ^n-1 × (16/9) ^1-n = 27/64
=> (3/4) ^n-1 × (4^2/3^2) ^ 1-n = 27/64
=> (3/4) ^n-1 × ((4/3) ^2) ^1-n = 27/64
=> (3/4) ^n-1 × (4/3) ^ 2(1-n) = 27/64
=> (3/4) ^n-1 × (4/3) ^2-2n = 27/64
=> (3/4) ^n-1 × (4^2-2n) /(3^2-2n) = 27/64
=> (3/4) ^n-1 × (3^2n-2) /(4^2n-2) = 27/64
[ (a/b) ^n = b^-n /a^-n]
=> (3/4) ^n-1 × (3/4) ^2n-2 = 27/64
=> (3/4) ^(n-1+2n-2) = 27/64
=> (3/4) ^ (3n-3) = 27/64
=> (3/4) ^(3n-3) = (3/4) ^3
=> 3n-3 = 3
=> 3n = 3+3
=> n = 6/3 = 2
So, the value of n is = 2
Answer:
Step-by-step explanation:
I'd like to know what is the point of the violating of YOUR ( TheBrain ) guideline I broke? And this is not a first time you are removing my answer and leaving another answer which is the same. This is the discrimination!!!
