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Solving Logarithmic EquationsSolving Logarithmic EquationsMore than one log on the same side of the equal sign:Condense each side firstLog on BOTH sides of the equal sign:Cancel the logs on each side and solve the remaining equationLog on ONE side of the equal sign:Isolate the log/lnChange to an exponential and solve the equationALWAYS CHECK FOR AN EXTRANEOUS SOLUTION: You can NOT log or ln a negative number!SOLVE:1)log3(3x – 6) = log3(2x + 1)2)ln(x2 – 30) = ln6 3)2 log4x = log4814)log54 + log5x = log5365)log2x + log2(x + 3) = log2 (x + 15)6)2 log64 – ? log68 =log6x7)log2x + log2(x – 7) = 38)ln x – ln 5 = 09) 5 + 2log2 x = 2110) log5(3x+1) = 2 11) 12ln x = 18 12)2 + 3ln(2x) = 8ApplicationsThe wind speed s (in miles per hour) near the center of a tornado is related to the distance d (in miles) the tornado travels by this model s=93logd+65. Find the distance the tornado traveled if the wind speed was 280 mph. The number y of endangered animal species in the United States from 1990 to 2002 can be modeled by y=-119+164lnt, 10≤t≤22 where t represents the year, with t = 10 corresponding to 1990. During which year did the number of endangered animal species reach 357. ................
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