## What are some applications of exponential functions?

Compound interest, loudness of sound, population increase, population decrease or radioactive decay are all applications of exponential functions.

### What application has the logarithmic function?

Three of the most common applications of exponential and logarithmic functions have to do with interest earned on an investment, population growth, and carbon dating.

#### What are logarithms Khan?

Logarithms are the inverses of exponents. They allow us to solve hairy exponential equations, and they are a good excuse to dive deeper into the relationship between a function and its inverse.

**What are logarithmic functions used for in real life?**

Real Life Application of Logarithms in Determining pH Value 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.

**Why do we use exponents in real life?**

Exponents are supercript numerals that let you know how many times you should multiply a number by itself. Some real world applications include understanding scientific scales like the pH scale or the Richter scale, using scientific notation to write very large or very small numbers and taking measurements.

## What are real life applications of exponential and logarithmic functions?

Exponential and logarithmic functions are no exception! Much of the power of logarithms is their usefulness in solving exponential equations. Some examples of this include sound (decibel measures), earthquakes (Richter scale), the brightness of stars, and chemistry (pH balance, a measure of acidity and alkalinity).

### How is the logarithmic function defined?

: a function (such as y = loga x or y = ln x) that is the inverse of an exponential function (such as y = ax or y = ex) so that the independent variable appears in a logarithm.

#### How do you explain logarithms?

logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logb n. For example, 23 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log2 8.

**How do you solve an exponential equation using log?**

Exponential equations can be solved by taking the log of both sides. Steps: 1) As much as possible, get the log by itself. 2) Take the log (or natural log) of both sides. 3) Simplify as needed using the log rules. 4) Solve the equation for the variable.

**What are exponents and exponential functions?**

An exponential function is a function in which the independent variable is an exponent. Exponential functions have the general form y = f (x) = a x, where a > 0, a≠1, and x is any real number.

## What are logarithmic functions used for?

In business analytics, LOG in Excel is often used with other tools for regression analysis and plotting graphs for data representation. Logarithmic functions are used for graphical representation when the rate of change in the data increases or decreases quickly.

### What are the characteristics of graph of exponential function?

Characteristics of Graphs of Exponential Functions. the output values are positive for all values of x . as x increases, the output values increase without bound. as x decreases, the output values grow smaller, approaching zero.