@CLASS 9 MATHS Chapter number system question number 2 solution.@:-)
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Aaryadeep:
When i tried my answers are:-
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Hey friend,
(1) (√4)^2x+½ = 1/32
→(2)^2x+½ = 1/32
→2^(2x+½) = 1/2^5
→ 2^2x+½= 2^-5
Bases are equal. Exponents must be equal.
2x+½= -5
(4x+1)/2 = -5
4x+1 = -10
4x = -11
x = -11/4
(2) √(3/5)^1-2x = 4 17/27
→ (3/5)^(1-2x)×½ = 125/27
→ (3/5)^(1-2x)×½ = (5/3)³
→ (3/5)^½-x = (3/5)^-3
Bases are equal. Exponents must be equal.
1/2 - x = -3
1/2+3 = x
x = (1+6)/2
x = 7/2
Hope it helps
(1) (√4)^2x+½ = 1/32
→(2)^2x+½ = 1/32
→2^(2x+½) = 1/2^5
→ 2^2x+½= 2^-5
Bases are equal. Exponents must be equal.
2x+½= -5
(4x+1)/2 = -5
4x+1 = -10
4x = -11
x = -11/4
(2) √(3/5)^1-2x = 4 17/27
→ (3/5)^(1-2x)×½ = 125/27
→ (3/5)^(1-2x)×½ = (5/3)³
→ (3/5)^½-x = (3/5)^-3
Bases are equal. Exponents must be equal.
1/2 - x = -3
1/2+3 = x
x = (1+6)/2
x = 7/2
Hope it helps
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