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What is the approximate solution to this equation?
4lni - 8 = 12
ОА.
59,874
OB.
I 10.5
Ос.
IÑ148.4
OD.
I 1.61


Select The Correct Answer What Is The Approximate Solution To This Equation 4lni 8 12 ОА 59874 OB I 105 Ос IÑ1484 OD I 161 class=

Sagot :

Answer:

Answer: Choice C. [tex]x \approx 148.4[/tex]

Step-by-step explanation:

Logarithmic Equations

Solve:

[tex]4\ln x-8=12[/tex]

Adding 8:

[tex]4\ln x=20[/tex]

Dividing by 4:

[tex]\ln x=5[/tex]

Applying exponentials:

[tex]e^{\ln x}=e^{5}[/tex]

Since the exponential and the natural log are inverse functions:

[tex]x=e^{5}[/tex]

Calculating:

[tex]x \approx 148.4[/tex]

Answer: Choice C. [tex]x \approx 148.4[/tex]

Answer:148.4

Step-by-step explanation:

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