## What is the difference between exponential and logarithmic form?

## What is the difference between exponential and logarithmic form?

The exponential function is given by ƒ(x) = ex, whereas the logarithmic function is given by g(x) = ln x, and former is the inverse of the latter. The range of the exponential function is a set of positive real numbers, but the range of the logarithmic function is a set of real numbers.

### What is exponential and logarithmic form?

Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax only under the following conditions: x = ay, a > 0, and a≠1.

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

This reflects the graph about the line y=x. 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.

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

Function | y=ax, a>0, a≠1 | y=loga x, a>0, a≠1 |

Domain | all reals | x > 0 |

Range | y > 0 | all reals |

**What is the opposite to exponential?**

Apr 4, 2018. The opposite of growth is decay the opposite of exponential is logarithmic.

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

The inverse of an exponential function is a logarithmic function. Remember that the inverse of a function is obtained by switching the x and y coordinates. This reflects the graph about the line y=x. As you can tell from the graph to the right, the logarithmic curve is a reflection of the exponential curve.

## What is an example of exponential form?

Exponential numbers take the form an, where a is multiplied by itself n times. A simple example is 8=23=2×2×2. For example, 5 ×103 is the scientific notation for the number 5000, while 3.25×102is the scientific notation for the number 325.

### How do you know if a graph is a logarithmic function?

When graphed, the logarithmic function is similar in shape to the square root function, but with a vertical asymptote as x approaches 0 from the right. The point (1,0) is on the graph of all logarithmic functions of the form y=logbx y = l o g b x , where b is a positive real number.

#### What is the exponential form?

The exponential form is a shortcut way of writing repeated multiplication involving base and exponents. In this form, the power represents the number of times we are multiplying the base by itself. …