(Solved): 2. Solve for \( x \) a. \( \ln (\ln x)=1 \) b. \( 3-5 \ln (3 x-2)=10 \) c. \( ...

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2. Solve for \( x \) a. \( \ln (\ln x)=1 \) b. \( 3-5 \ln (3 x-2)=10 \) c. \( e^{2 x}-e^{x}-6=0 \quad \) (Hint: factor) 3. Find the absolute extrema of the function (state whether max or min) \[ f(x)=x^{3}+\frac{1}{2} x^{2}-2 x+5 \] a. On the interval \( (-\infty, \infty) \) b. On the interval \( [-2,1] \)