Step 5: Set the first factor equal to zero and solve for x: If Note: The product of two terms can only equal zero if one or both of the two terms is zero. Step 3: Factor the left side of the equation: Step 2: Rewrite the equation in quadratic form: This means the equation has two real solutions. Solution: Step 1: When you graph the left side of the equation, you will note that the graph crosses the x-axis in two places. x = -3.16749108729 is an approximate answer.Ĭheck: Check your answer in the original equation. Step 5: Subtract 5 from both sides of the above equation: Step 4: Simplify the left side of the above equation: Since Log(10) = 1, the above equation can be written Step 3: Simplify the left side of the above equation using Logarithmic Rule 3: Therefore, add 8 to both sides: Step 2: Take the common log of both sides: Solution: Step 1: Isolate the exponential term before you take the common log of both sides. Ln(80) is the exact answer and x=4.38202663467 is an approximate answer because we have rounded the value of Ln(80).Ĭheck: Check your answer in the original equation. Step 3: Simplify the left side of the above equation: Since Ln( e)=1, the equation reads Step 2: Simplify the left side of the above equation using Logarithmic Rule 3: Solution: Step 1: Take the natural log of both sides: To solve an exponential equation, take the log of both sides, and SOLVING EXPONENTIAL EQUATIONS SOLVING EXPONENTIAL EQUATIONS
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