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given, [ 4²ˣ + 10 ] ÷ 2 = 37
to find the value of x
4²ˣ + 10 = 37*2
=> 4²ˣ + 10 = 74
=> 4²ˣ = 74 - 10
=> 4²ˣ = 64
=> 2²⁽²ˣ⁾ = 2⁶
=> 2⁴ˣ = 2⁶
as base 2 is common to both sides, we can equate the exponents
=> 4x = 6
=> x = 6/4
=> x = 3/2 = 1½
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