solve for x : 8^x+1 + (4x)^3/2 = 18
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Given : 8^x+1 + (4)^3x/2 = 18
To Find : Solve for x
Solution:
8ˣ⁺¹ + (4)^3x/2 = 18
⇒ (2³)ˣ⁺¹ + (2²)^3x/2 = 18
⇒ 2³ˣ⁺³ + 2³ˣ = 18
⇒ 2³ˣ.2³ + 2³ˣ = 18
⇒ 2³ˣ.( 8 + 1) = 18
⇒ 2³ˣ.( 9) = 18
⇒ 2³ˣ =2
⇒ 2³ˣ =2¹
3x = 1
⇒ x = 1/3
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