[WILL MARK BRAINLIEST] How are logarithms used in the “real world?”

Mathematics

1 answer:

salantis [7]3 years ago

3 0

Answer:

Logarithms are used to model all sorts of things, especially growth and decay!

Step-by-step explanation:

One super-relevant example of how logs are used is in tracking the progress of the coronavirus. There are graphs up on worldometer that show both the linear number of cases and deaths and the log numbers - why? Because this gives us a better idea of when the curve will really flatten, or when it will reach its carrying capacity.

It's also used in things like radioactive decay, or where the growth rate is not constant.

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The speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth. About how many se

marysya [2.9K]

Answer:

2.72 × 10^8 seconds

Step-by-step explanation:

1. Organize the given information to help you create the equation:

- Light travels 1.86 × 10^5 miles per 1 second

- Light travels 5.062 × 10^13 miles per n seconds

- Need to solve for n

2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):

$\frac{1.86 * 10^5}{1}$ = $\frac{5.062 * 10^1^3}{n}$

3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)

n × (1.86 × 10^5) = 5.062 × 10^13

4. Solve for n by isolating the variable and dividing.

$\frac{n (1.86 * 10^5)}{1.86 * 10^5}$ = $\frac{5.062 * 10^1^3}{1.86 * 10^5}$