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MAVERICK [17]
3 years ago
10

Solve the logarithmic equation. When necessary, round answer to the nearest hundredth.

Mathematics
2 answers:
Nikitich [7]3 years ago
8 0

Answer:

Exact Form:

x=e^4

Decimal Form:

x=54.59815003

stiv31 [10]3 years ago
3 0

Answer:

The solution of the logarithmic equation is x=54.59  

Step-by-step explanation:

Given : Expression 4-3\ln x=-8        

To find : Solve the logarithmic equation?

Solution :    

Step 1 - Write the expression,

4-3\ln x=-8      

Step 2 - Subtract 4 both side,

4-4-3\ln x=-8-4      

-3\ln x=-12      

Step 3 - Divide by -3 both side,

\frac{-3\ln x}{-3}=\frac{-12}{-3}      

\ln x=4      

Step 4 - Taking exponential both side,

x=e^4  

x=54.59  

Therefore, The solution of the logarithmic equation is x=54.59  

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The rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The distance traveled by passenger train = 245 miles

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The time takes for both trains is the same.

Let's suppose the rate of the passenger train is x and the rate of the freight train is y;

As we know,

Distance = speed×time

245/x = 200/y

200x = 245y

200x - 245y = 0 ..(1)

x = 15 + y ..(2)

Equations (1) and (2) represent the situation.

After solving equations (1) and (2):

\rm x=\dfrac{245}{3}= 81.67\\\\\\\:y=\dfrac{200}{3}=66.67

Thus, the rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.

Learn more about the linear equation here:

brainly.com/question/11897796

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