## What is the inverse of a logarithmic equation?

Can a logarithmic function be expressed in inverse function?

## What is the inverse of a logarithmic equation?

exponential
We know that the inverse of a log function is an exponential. So, we know that the inverse of f(x) = log subb(x) is f^-1(y) = b^y.

Can a logarithmic function be expressed in inverse function?

The logarithmic function g(x) = logb(x) is the inverse of an exponential function f(x) = bx. and so the meaning of y = logb(x) is by = x. The expression by = x is said to be the “exponential form” for the logarithm y = logb(x).

What is the inverse of exponential?

logarithmic function
The logarithmic function g(x) = logb(x) is the inverse of the exponential function f(x) = bx. The meaning of y = logb(x) is by = x. is the “exponential form” for the logarithm y = logb(x). The positive constant b is called the base (of the logarithm.)

### Why are exponential and logarithmic functions called inverses?

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.

Why logarithmic functions are the inverses of exponential functions?

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.

Which of the following options is the inverse of an exponential function Step function logarithmic function linear function quadratic function?

#### How do you solve logarithmic and exponential equations?

To solve an exponential equation, first isolate the exponential expression, then take the logarithm of both sides of the equation and solve for the variable. 2. To solve a logarithmic equation, first isolate the logarithmic expression, then exponentiate both sides of the equation and solve for the variable.

What is the difference between exponential function and logarithmic function?

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 domain of the exponential function is a set of real numbers, but the domain of the logarithmic function is a set of positive real numbers.

How do you solve inverse functions?

How do you find the inverse of a function? To find the inverse of a function, write the function y as a function of x i.e. y = f(x) and then solve for x as a function of y.

## What is the relationship between logarithmic and exponential functions?

What is the difference between exponential and logarithmic equation?

An exponential equation is an equation in which the variable appears in an exponent. A logarithmic equation is an equation that involves the logarithm of an expression containing a variable.

What is an example of exponential function?

Exponential Functions Examples The examples of exponential functions are: f(x) = 2. f(x) = 1/ 2x = 2. f(x) = 2.

### Why are exponential and logarithmic functions inverses?

The logarithmic function g(x) = logb(x) is the inverse of the exponential function f(x) = bx. The meaning of y = logb(x) is by = x. is the “exponential form” for the logarithm y = logb(x). The positive constant b is called the base (of the logarithm.)