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Sagot :
Answer:
x ≈ 12.182
Step-by-step explanation:
1 - 2lnx = - 4 ( subtract 1 from both sides )
- 2lnx = - 5 ( divide both sides by - 2 )
lnx = 2.5
x = [tex]e^{2.5}[/tex] ≈ 12.182 ( to the nearest thousandth )
Answer:
x = 12.182 (nearest thousandth)
Step-by-step explanation:
Given equation:
[tex]1-2 \ln x=-4[/tex]
Subtract 1 from both sides:
[tex]\implies 1-1 -2 \ln x =-4-1[/tex]
[tex]\implies -2 \ln x=-5[/tex]
Divide both sides by -2:
[tex]\implies \dfrac{-2 \ln x}{-2}=\dfrac{-5}{-2}[/tex]
[tex]\implies \ln x = \dfrac{5}{2}[/tex]
[tex]\textsf{As }\: \ln x=\log_ex \:\:\textsf{}[/tex], the natural logarithm can be canceled by giving both sides a base of e (Euler's number):
[tex]\implies e^{\ln x}= e^{\frac{5}{2}[/tex]
[tex]\implies x= e^{\frac{5}{2}[/tex]
[tex]\implies x=12.182\:\: \sf (nearest\:thousandth)[/tex]
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