Find each value. If applicable, give an approximation to four dec...

Question

Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 518 - log 342

Accepted Answer

Hello, everybody doing. All right. Today, today we're gonna be looking at this math question that's asking us to evaluate the following logarithmic expression. And if it is appropriate to write the answer in decimal round it to four decimal places. Now the logarithmic expression that they give us is log of minus log of 231. Now the answer choice that they provide us are a 1.1092 B 1.3819 C 0.4281 and D eight. Now, when approaching a question like this, the first thing we gotta ask us is are there any rules that we can identify that we can simplify this expression any way? For example, the product rule, the quotient rule, any rule that we know for lo logos, can we use it to simplify this equation? And by looking at this, um there is not, if we use the quotient rule, we'll, we'll turn this into one logo uh dividing the, the 619 and the 231 but that's not gonna change the outcome of the question. Therefore, we have to just plug this into our calculator. And to do that, you just go to your calculator and you press the log and six of 619 and you close that parentheses and you put minus another log of 231 and close that parentheses. And that will give you a calculator value and I'll write it down, that'll give you a calculator value of 0.42807. And, and so on now they asked us to round it to four decimal places. So we have to end it right here. And because we see the A, that A seven is after the zero, we have to round that zero up to a one. So that'll be our rounded answer and it'll be 0. or in this case, that'll be letter C. So I hope that was helpful. And until next time.

Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 518 - log 342

Key Concepts

Logarithmic Properties

Common Logarithm

Approximation Techniques

Watch next