Question

Solve the equation –4 In(6x) = 2. O A. 0.101 B. 0.275 C 3.639 D. 67.238

Answer 1

Answer:

A) 0.101

Step-by-step explanation:

• $ln(6x) = -1/2$
• $6x = e^(^-^1^/^2^)$
• $6x = 1/\sqrt{e}$
• $x = 1/(6\times \sqrt{e})$

Using the calculator $x = 0.101$

Answer 2

Isolate the variable using algebraic manipulation.

$-4 ln(6x)=2$

$ln(6x)=-\frac{1}{2}$

$6x=e^{-\frac{1}{2}}$

$x=\frac{e^-\frac{1}{2}}{6}$

$x=0.101$

Hope this helps.

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