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Chapter 11. Modeling (Optional) > 11.5 Logarithmic Models - Pg. 344

344 Chapter 11 14,000 12,000 10,000 Output Q 8,000 6,000 4,000 2,000 0 0 20 40 60 80 100 120 140 160 180 200 Labor input L Figure 11.12 A Cobb-Douglas production function, holding capital constant. 10,000 9,000 8,000 7,000 Output Q 6,000 5,000 4,000 3,000 2,000 1,000 0 0 10 20 30 40 50 60 Capital input K 70 80 90 100 Figure 11.13 A Cobb-Douglas production function, holding labor constant. 11.5 Logarithmic Models The general form for a power function is given by Equation 11.5: Y = AX . If we take logarithms of both sides of this equation, we obtain ln½Y = ln½A + ln½X or U = + V www.elsevierdirect.com