untchick04tm

2021-12-29

${E}^{4x}=12$ algebraically for d rounded to the nearest hundredth

a)1.00

b)1.10

c)0.62

d)0.48

Corgnatiui

Beginner2021-12-30Added 35 answers

The equation shown is ${e}^{4x}=12$ and to determine the value of x, we must find a solution.

To solve this question, natural logs can be used on both sides.

$\mathrm{ln}\left({e}^{4x}\right)=\mathrm{ln}\left(12\right)$

on the left hand side exponential gets cancelled we get

$4x=2.48$ [ the value of $\mathrm{ln}\left(12\right)=2.48$

$x=\frac{4}{2.48}$

$x=0.62$

Answer: (c)

Vivian Soares

Beginner2021-12-31Added 36 answers

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

$\mathrm{ln}\left({e}^{4x}\right)=\mathrm{ln}\left(12\right)$

Expand the left side.

$4x=\mathrm{ln}\left(12\right)$

Divide each term by 4 and simplify.

$x=\frac{\mathrm{ln}\left(12\right)}{4}$

The result can be shown in multiple forms.

Exact Form:

$x=\frac{\mathrm{ln}\left(12\right)}{4}$

Decimal Form:

$x=0.62$

Expand the left side.

Divide each term by 4 and simplify.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Vasquez

Expert2022-01-08Added 669 answers

Given: e

To solve this question, we can take natural log both sides

ln(e

4x=2.48 [the value of ln(12)=2.48]

x=4/2.48

Answer: x=0.62

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