## Logarithm Word Problems

#### Aligned To Common Core Standard:

**High School** - Modeling

How to Approach Logarithm Word Problems -
Most students face the highest degree of difficulty when solving logarithmic word problems. Even though these word problems are much more straightforward, the kids find it complex to solve. The logarithmic word problems give an equation and all you have to do is enter the values in the equation to find the answer.
Example: Calculate the loudness of a cat's sound that is 316 higher than the threshold sound. The formula to calculate loudness is dB=10 log(I ÷ I_{oo} ÷ I_{o})
dB=24.9968 decibells
Some word problems may require you to use logarithmic rules;
log_{b} M = log_{n} N --> M = N | log_{b} M = N --> M=b^{N} | log_{b} M + log_{b} N = log_{b} (M.N) | log_{b} M - log_{b} N= log_{b}(M/N)
These worksheets feature word problems that have a logarithmic aspect to them.

### Printable Worksheets And Lessons

- Muni-Bonds Step-by-Step Lesson- Reed is trying to figure out how much his nest egg will be worth.
- Guided Lesson - I
would love to loan Michael money, if he'll pay it back at 14% interest.

- Guided Lesson Explanation - The same formula is used for all the problems, just a slight adjustment in each one.
- Practice Worksheet -
A number of really good problems that take about seven to ten minutes
each to solve.

- Matching Worksheet
- As my old professor would say, "These are problems for those
that make the BIG BUCKS!" Hopefully our students will need
to work on them for real.

- Logarithm
Word Problems Five Pack of Worksheets - Logs are used some much
in the financial world, it's definitely a mainstay.