Power Law Equation Help: Solving for v with x=0.02 | Homework Equations

[Adam_9333]

Homework Statement

need to solve for v? I also know the value of x=0.02

Homework Equations

v(x)= 47.8 ⋅ (0.451/x)^(5.39)

The Attempt at a Solution

how do I take the log of both sides, is that the right approach to solve for v?

 

[RUber]

Apply the product rule then the power rule.

 

[RUber]

But, if you already know x, you don't have anything to solve. Just put .02 in for x and evaluate.

 

[Adam_9333]

I am little confused, my calculus skills stayed in first year. Do put 0.02 in the x term on the left side of the equation also, and just solve for V?

 

[Fredrik]

I am little confused, my calculus skills stayed in first year. Do put 0.02 in the x term on the left side of the equation also, and just solve for V?

You didn't state the problem accurately, but if it's asking you to determine v(0.02), then all you have to do is to replace the x on the right by 0.02 and perform the computations. To "solve for v" would be to find an equivalent equation with v alone on one side, but the equation is already of that form, so what you need to do to solve for v is nothing at all.

how do I take the log of both sides, is that the right approach to solve for v?

That would be a good approach if you wanted to solve for x.