please please answer this question if you answer this question I will mark you as brain list
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please please answer this question if you answer this question I will mark you as brain list
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please mark me as brainlist
Answer:
x=2
Step-by-step explanation:
EQUATION = (3/4)^6 * (16/9)^5 = (4/3)^(X+2)
SO SIMPLIFY THE EQUATION (3/4)^6 * (16/9)^5 = (4/3)^(X+2)
=> (3/4)^6 * (4^2/3^2)^5 = (4/3)^(X+2)
USE THE IDENTITY [(N^A)^B] = N^(A*B)
=> (3/4)^6 * (4/3)^10 = (4/3)^(X+2)
MAKE ALL THE TERMS SAME
SO,(3/4)^6 = (4/3)^-6
=> (4/3)^-6 * (4/3)^10 = (4/3)^(X+2)
USE THE IDENTITY (N)^a * (N)^b = (N)^(a+b)
=> (4/3)^(-6+10) = (4/3)^(X+2)
SO TAKE THE EXPONENTS AND SOLVE THE EQUATION LIKE SIMPLE LINEAR EQUATION.
=> -6+10 = X+2
=> 4 = X+2
=>X = 4-2
=>X = 2
SO THE VALUE OF X IS 2.
HOPE IT HELPS YOU
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