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Select the correct answer. What is the approximate solution to this equation? 4lnx-8=12 A. xapprox 148.4 B. xapprox 10.5 C xapprox 1.61 D xapprox 59,874

Problemas

Select the correct answer.
What is the approximate solution to this equation?
4lnx-8=12
A. xapprox 148.4
B. xapprox 10.5
C xapprox 1.61
D xapprox 59,874

Select the correct answer. What is the approximate solution to this equation? 4lnx-8=12 A. xapprox 148.4 B. xapprox 10.5 C xapprox 1.61 D xapprox 59,874

Solución

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Estrellaélite · Tutor durante 8 años
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To solve the equation $4lnx-8=12$, we first isolate the logarithmic term by adding 8 to both sides of the equation:<br /><br />$4lnx = 20$<br /><br />Next, we divide both sides by 4 to isolate the natural logarithm:<br /><br />$lnx = 5$<br /><br />To solve for x, we take the exponential of both sides:<br /><br />$x = e^5$<br /><br />Using a calculator, we find that $e^5 \approx 148.4$, so the correct answer is A. $x\approx 148.4$.
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