# Examples of logarithmic scales

## What is a logarithmic scale and why is it useful example?

A logarithmic scale is

**a nonlinear scale often used when analyzing a large range of quantities**. Instead of increasing in equal increments, each interval is increased by a factor of the base of the logarithm. Typically, a base ten and base e scale are used.## What is meant by a logarithmic scale?

Definition of logarithmic scale

: **a scale on which the actual distance of a point from the scale’s zero is proportional to the logarithm of the corresponding scale number rather than to the number itself** â€” compare arithmetic scale.

## When would you use a logarithmic scale?

When are logarithmic scales used? You typically use a logarithmic scale for two reasons. The first reason is

**when large values skew the graph of the data**, and the second is to show multiplicative factors or percent changes. Many careers use logarithmic scales, from farmers to researchers.## How do you make a logarithmic scale?

**In your XY (scatter) graph, double-click the scale of each axis.**

**In the Format Axis box, select the Scale tab, and then check Logarithmic scale**.

## Is the earthquake scale logarithmic?

The Richter Scale is a base-ten logarithmic scale. In other words, an earthquake of magnitude 8 is not twice as great as an earthquake of magnitude 4. It is 108-4=104=10,000 times as great!

## Is pH a logarithmic scale?

**The pH scale is logarithmic**, essentially meaning the difference in 1 pH unit is a difference of 10 times! In a previous blog post, we introduced exactly what we are measuring when we take a pH measurement â€“ hydrogen ion activity or concentration.

## How do you read a logarithmic scale?

## What is the difference between logarithmic and linear scale?

A logarithmic price scale uses the percentage of change to plot data points, so, the scale prices are not positioned equidistantly. A linear price scale uses an equal value between price scales providing an equal distance between values.

## What is the benefit of using a logarithmic scale?

Presentation of data on a logarithmic scale can be helpful when the data: covers a large range of values, since the use of the logarithms of the values rather than the actual values reduces a wide range to a more manageable size; may contain exponential laws or power laws, since these will show up as straight lines.

## What is a logarithmic scale vs linear?

A logarithmic price scale uses the percentage of change to plot data points, so, the scale prices are not positioned equidistantly. A linear price scale uses an equal value between price scales providing an equal distance between values.

## How do you read a logarithmic scale?

## What is the difference between logarithmic and exponential?

**Logarithmic functions are the inverses of exponential functions**. The inverse of the exponential function y = a

^{x}is x = a

^{y}. The logarithmic function y = log

_{a}x is defined to be equivalent to the exponential equation x = a

^{y}.

## How do you know if a graph is exponential or logarithmic?

As you can tell from the graph to the right, the logarithmic curve is a reflection of the exponential curve.

…

Comparison of Exponential and Logarithmic Functions.

…

Comparison of Exponential and Logarithmic Functions.

Exponential | Logarithmic | |
---|---|---|

Function | y=a^{x}, a>0, aâ‰ 1 | y=log_{a} x, a>0, aâ‰ 1 |

Domain | all reals | x > 0 |

Range | y > 0 | all reals |

## How logarithms are used in real life?

The Real-Life scenario of Logarithms is

**to measure the acidic, basic or neutral of a substance that describes a chemical property in terms of pH value**.## What is the benefit of using a logarithmic scale?

Presentation of data on a logarithmic scale can be helpful when the data: covers a large range of values, since the use of the logarithms of the values rather than the actual values reduces a wide range to a more manageable size; may contain exponential laws or power laws, since these will show up as straight lines.

## What does a logarithmic graph look like?

## How do you explain logarithms to students?

## Why do we need to learn logarithms?

Logarithms can be used

**to solve exponential equations and to explore the properties of exponential functions**. They will also become extremely valuable in calculus, where they will be used to calculate the slope of certain functions and the area bounded by certain curves.## What is a logarithm in simple terms?

A logarithm is

**the power to which a number must be raised in order to get some other number**(see Section 3 of this Math Review for more about exponents). For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2.## What are the 7 rules of logarithms?

**Rules of Logarithms**

- Rule 1: Product Rule. The logarithm of the product is the sum of the logarithms of the factors.
- Rule 2: Quotient Rule. …
- Rule 3: Power Rule. …
- Rule 4: Zero Rule. …
- Rule 5: Identity Rule. …
- Rule 6: Inverse Property of Logarithm. …
- Rule 7: Inverse Property of Exponent. …
- Rule 8: Change of Base Formula.

## What is the easiest way to learn logarithms?

## What are the types of logarithms?

Two kinds of logarithms are often used in chemistry:

**common (or Briggian) logarithms and natural (or Napierian) logarithms**. The power to which a base of 10 must be raised to obtain a number is called the common logarithm (log) of the number. The power to which the base e (e = 2.718281828…….)## What are the examples of logarithmic equation?

LOGARITHMIC EQUATIONS | ||
---|---|---|

Examples | EXAMPLES OF LOGARITHMIC EQUATIONS | |

Log_{2} x = -5 | 5 + ln 2x = 4 | |

ln x + ln (x – 2) = 1 | log_{6} x + log_{6} (x + 1) = 1 | |

Solving | STEPS TO SOLVE A logarithmic EQUATIONS |