Find the exact value of the logarithm without using a calculator.

1/11

Step-by-step explanation:

We are asked to find the natural log of

Convert to fractional exponent

Apply Log of Power rule

Natural log of e is 1 so

Step-by-step explanation:

First, remember that the ln function is just a log function with a base of e. Here's how it looks

We can take this one step further if we realize that we can rewrite the square root as a simple power to a fraction!

Solving the equation above is really simple. All that function is really saying is can we raise e to some number, where the result would be e^(1/11)? In other words find x.

Well x has to be 1/11 in that case. And that ends up being our final answer.

except if the answer is in the value of money, then, it will matter. it will have to be $0.40, but i can tell this is not a money question, so .4 should be the right one.

there is no following? ! lol