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Core: 3.5/10 Answered: 4/10 Question 5 Find the Solution of the Exponential Equation E^3x+4=6 The Exact Solution Is: a = X=square The

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core: 3.5/10 Answered: 4/10 Question 5 Find the solution of the exponential equation e^3x+4=6 The exact solution is: a = x=square The approximate solution correct to four decimal places is x= x=square

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Respuesta

To solve the exponential equation , we can take the natural logarithm of both sides to get rid of the exponential term.Taking the natural logarithm of both sides, we have: Using the property of logarithms that , we can simplify the left side: Now, we can solve for by isolating it on one side of the equation: This is the exact solution for .To find the approximate solution correct to four decimal places, we can evaluate the expression using a calculator: Therefore, the exact solution is and the approximate solution correct to four decimal places is .