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Solving Equations. To Solve Log and Exponential Equations. Get the exponential/logarithmic expression on one side by itself Try to get both bases to be the same Take the log or ln of both sides and apply the properties of logs to solve the equation Use the calculator. Ex. 1.
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To Solve Log and Exponential Equations • Get the exponential/logarithmic expression on one side by itself • Try to get both bases to be the same • Take the log or ln of both sides and apply the properties of logs to solve the equation • Use the calculator
Ex. 1 Solving Exponential and Logarithmic Equations Problem Rewritten Solution a) b) c)
Ex. 1 Solving Exponential and Logarithmic Equations Problem Rewritten Solution d) e) f)
Ex. 2 Solve each Equation
Ex. 3 Solve Divide both sides by 4 Take logarithm of both sides Inverse Property Solve for x (multiply both sides by ) Use a calculator
Ex. 4 Solve Add 4 to both sides Divide both sides by 2 Take log (base 3) of each side Inverse property Add 5 to each side Divide both sides by 2 Use a calculator
Ex. 6 Solving Logarithmic Equations To solve a logarithmic equation, you write it in exponential form.
Ex. 7 Solve Subtract 5 from both sides Divide both sides by 2 Exponentiate each side. Inverse Property Use a calculator
Ex. 8 Solve Divide both sides by 2 Exponentiate each side Inverse property Divide both sides by 3
Classwork WORKBOOK PAGE 181 TOTD: 10, 20, 26 HOMEWORK PAGE 161: 2 – 35 MIDDLE COLUMN