E^{4x}=12 algebraically for d rounded to the nearest hundredth 1.00 1.10 0.62 0.48

untchick04tm

untchick04tm

Answered question

2021-12-29

E4x=12 algebraically for d rounded to the nearest hundredth 
a)1.00 
b)1.10 
c)0.62 
d)0.48

Answer & Explanation

Corgnatiui

Corgnatiui

Beginner2021-12-30Added 35 answers

The equation shown is e4x=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.
ln(e4x)=ln(12) 
on the left hand side exponential gets cancelled we get 
4x=2.48 [ the value of ln(12)=2.48 
x=42.48 
x=0.62 
Answer: (c)

Vivian Soares

Vivian Soares

Beginner2021-12-31Added 36 answers

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
ln(e4x)=ln(12)
Expand the left side.
4x=ln(12)
Divide each term by 4 and simplify.
x=ln(12)4
The result can be shown in multiple forms.
Exact Form:
x=ln(12)4
Decimal Form:
x=0.62
Vasquez

Vasquez

Expert2022-01-08Added 669 answers

Given: e4x=12 and we have to solve it to find the value of x
To solve this question, we can take natural log both sides
ln(e4x)=ln(12) on the left hand side exponential gets cancelled we get
4x=2.48 [the value of ln(12)=2.48]
x=4/2.48
Answer: x=0.62

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