Question 3
a) Solve the equation
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Answer:
x = -4
Step-by-step explanation:
(³√4 ) ^(2x+1/2) = ( ³√2²)^(2x+1/2)
= 2 ^ {⅔ (2x +½)
= 2^{ 4x/3 + 1/3}
1/32 = 1/2⁵ = 2^(-5)
now
(³√4 ) ^(2x+1/2) = 1/32
=> 2^{ 4x/3 + 1/3} = 2^(-5)
comparing power as base are equal
(4x + 1) ÷ 3 = -5
=> 4x+1 = -5×3 = -15
=> 4x = -15 - 1 = -16
=> x = (-16)/4
=> x = -4
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