2 ⋅ 1 2 n = 49 1 2 n = 2 49 n = lo g 12 2 49
To solve 2 ⋅ 1 2 n = 49 , isolate the exponent by dividing by 2 to get 1 2 n = 24.5 . Then, take the logarithm of both sides, apply the power rule, and solve for n to find that n ≈ 1.288 .
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[tex] \frac{1}{8} = 1 \div 8 = 0.125[/tex]