What Are Logarithmic Scales?
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- (Video) Log Scale by katari Here's a good video by katari explaining what a logarithmic scale is and how it differs from a linear scale. Summary\large{\text{Summary}}Summary A l…
By Alex Federspiel, Amy Feraco
- Log scale: intuition Now that we're familiar with writing exponential equations, let's take this concept a step further! We're used to seeing number lines spaced apart by intege…
By Liza Sulkin, Anusha Rahman
- Logarithmic Scales A logarithmic scale is a special type of number line used when numbers grow or shrink really fast. Instead of increasing by adding the same amount (like 111, …
By Anusha Rahman
Problems 24
- Which of the following scales are logarithmic scales?
- In 199519951995, an earthquake in Mexico registered 8.08.08.0 on the Richter scale. In 200120012001, an earthquake of magnitude 6.86.86.8 shook Washington state. The formula log…
- The pH of a substance equals −log[H+]-\log[H^+]−log[H+], where [H+][H^+][H+] is the concentration of hydrogen ions, and it ranges from 000 to 141414. Find the concentration of …
- The pH of a substance equals −log[H+]-\log[H^+]−log[H+], where [H+][H^+][H+] is the concentration of hydrogen ions. [Hm+][H^+_m][Hm+] for milk of magnesia is 3.16×10−113.16\ti…
- The loudness in decibels (dB) of a sound is defined as 10logII010\log\frac{I}{I_0}10logI0I, where III is the intensity of the sound in watts per square meter (W/m2W/m^2W/m2).…
- The apparent brightness of stars is measured on a logarithmic scale called magnitude, in which lower numbers mean brighter stars. The relationship between the ratio of apparent …
- If, for some positive real numbers a,b,c,da,b,c,da,b,c,d, the terms log2a,log2b,log2c,log2d\log_2 a, \log_2 b, \log_2 c, \log_2 dlog2a,log2b,log2c,log2d form an arithmet…
- Above is an example of a log scale. What is the value for the missing label?
- Find the missing value on this log scale.
- Find xxx in this log scale.
- Above is the population of a small town since 195019501950. If the Census Bureau were to predict the population in 205020502050, should they use a linear scale or a log scale?
- Which is the best way to graph these points and predict future points?
- Which scale is best for prediction?
- What would be the best scale for prediction?
- Which graph would be best for predicting the amount of money in the account after mmm months? Select all that apply.
- You subscribe to a premium streaming service that allows you to listen to music anytime you want. It only costs 10\1010 per month. Each month, your account is automatically char…
- Say you needed to find the square root of a very large number or the square of a very large number. How would you adjust the scales on this graph to predict any square or square…
- How would you adjust this graph to predict other values using the data points marked, and knowing that the trend line follows a general form of y=axky = ax^ky=axk?
- Above is a plot of a city's population since a recent economic boom. You know the population at the time of the "boom" was around 100,000100,000100,000. You also know the popula…
- What are the coordinates of Point AAA? HINT: The intervals between marked gridlines are equal in value.
- What are the coordinates of Point BBB?
- What are the coordinates of Point CCC?
- Suppose earthquake AAA measures xxx on the Richter scale and earthquake BBB measures x+3x+3x+3 on the Richter scale. Which of the following is (are) true?
- Suppose earthquake AAA measures xxx on the Richter scale and earthquake BBB measures yyy on the Richter scale. Which of the following is (are) true?