Question

In: Advanced Math

For the following exercises, solve the equation for x, if there is a solution. Then graph both sides of the equation, and observe the point of intersection (if it exists) to verify the solution. ln(3x) = 2

For the following exercises, solve the equation for x, if there is a solution. Then graph both sides of the equation, and observe the point of intersection (if it exists) to verify the solution.

ln(3x) = 2

Expert Solution

Consider an equation;

ln(3x) = 2

Use the following logarithmic property a = ln(ea) as follows:

ln(3x) = ln(e2)

Use the following logarithmic property

logb{f(x)} = logb{g(x)}

⇒ f(x) = g(x)

Therefore,

3x = e2

x = e2/3

= 2.5

Therefore, the value of ‘x’ is 2.5.

Use maple to plot the graph both sides of the equation as shown below:

From the graph above, the two graphs intersect at x = 2.5.

Therefore, the value of ‘x’ is 2.5.

From the graph above, the two graphs intersect at x = 2.5.

Nabeel answered 1 year ago

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