8-5 Exponential and Logarithmic Equations.pdf
8-5 Exponential and Logarithmic Equations.pdf
8-5 Exponential and Logarithmic Equations.pdf
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85 <strong>Exponential</strong> <strong>and</strong> <strong>Logarithmic</strong> <strong>Equations</strong>April 08, 2009Example #7: Using <strong>Logarithmic</strong> Properties to Solve an EqauationSolve 2 log x log 3 = 2.2 log x log 3 = 2(x 2)log = 2 Write as a single logarithm.3x 23= 10 2 Write in exponential form.x 2 = 3(100)x = ±10√3 ≈ ±17.32Log x is defined only for x>0, so the solution is 10√3 or about 17.32.Mar 202:19 PM12