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More Logarithms Graphing and Inverses
Lesson 7.4B
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Warm-up a) Rewrite in exponential form. log93 = 1 2 b) Rewrite in log form. ey=8 c) Evaluate without a calculator. i) log216 ii) log 100 iii) ln 1
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Recall how to find the inverse of a function
Find the inverse of y = 3x - 5
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1. Find the inverse of each function
y = log3x y = 12x y = ex-3 y = log (x – 5)
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2. Graph each function. y = log2x y = log3 (x + 2) c) y = log5x + 3
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3. The wind speed s (in miles per hour) near the center of a tornado can be modeled by
s = 93 log d + 65 where d is the distance that the tornado travels. In 1925 a tornado traveled 220 miles through 3 states. Estimate the wind speed. If a tornado had a wind speed of 158 mph, estimate how far it might travel.
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