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1. Solve the subsequent functions for x (where x is a real number). Leave your answers in precise form,

(a) 3x3x23x3 = 331x

(b) 4e2x = 21 − e4x

(c) log2(x − 10) + log2(x) = log2(119)

2. A manager has determined the cost C, in dollars, for manufacturing is

C(q) = 85 log10 (10 + q/2)

for manufacturing, where q is the number of units produced in a given day.

(a) What is cost of manufacturing before any units are produced?

(b) What is cost of manufacturing if 1980 units are produced in a given day?

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