Find the value of 'n' if - (2 ^ (2n) * 4 * 2 ^ n - 8 ^ x)/((2 ^ 5) ^ 3 * 9) = 1/24
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Step-by-step explanation:
5
2n
×5
3
=5
9
Apply law of exponents x
a
×x
b
=x
a+b
5
2n+3
=5
9
⇒2n+3=9
2n=9−3
2n=6
n=3
(2)
8×2
n+2
=32
2
3
×2
n+2
=2
5
Apply law of exponents x
a
×x
b
=x
a+b
2
3+n+2
=2
5
2
n+5
=2
5
⇒n+5=5
n=5−5
n=0
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