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Logarithmic and Exponential Equations Score: 3/10 Answered: 3/10 Square Solve for 2: 2^x=23 The Exact Solution (using Logarithms) Is: Z

Problemas

Logarithmic and Exponential Equations Score: 3/10 Answered: 3/10 square Solve for 2: 2^x=23 The exact solution (using logarithms) is: z = x=square The approximate answer,rounded to 4 decimal places, is: z = x=square

Roztwór

Eliana professionell · Tutor durante 6 años
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Respuesta

To solve the equation , we can take the logarithm of both sides of the equation. Taking the logarithm of both sides, we get: Using the property of logarithms that , we can simplify the left side of the equation: Now, we can solve for by dividing both sides of the equation by : This is the exact solution using logarithms. To find the approximate answer, we can use a calculator to evaluate the expression: Therefore, the exact solution is , and the approximate answer, rounded to 4 decimal places, is .