Unlock the Exponent: Exponential Equation Solver

Solve equations of the form a^x = b and discover the power of exponents!

Equation Setup

Base (a):

a =

The base of the exponential equation.

Constant (b):

b =

The constant result of the exponential equation.

Equation:

Solution (x):

Understanding the Solution

The solution x is the exponent to which the base a must be raised to obtain the constant b. In other words, it's the answer to the question: "a to what power equals b?".

Understanding Exponential Equations

An exponential equation is a type of equation where the variable appears in the exponent. The most common form is a^x = b, where 'a' and 'b' are constants, and 'x' is the variable we need to solve for.

Base (a): The base is the number that is raised to a power. For this solver, the base must be greater than 0 and not equal to 1.

Exponent (x): The exponent is the power to which the base is raised. This is what we are solving for.

Constant (b): The constant is the result of raising the base to the exponent. For a real solution to exist with a positive base, the constant 'b' must be greater than 0.

This tool uses logarithms to find the value of 'x'. The solution is given by x = log_a(b), which reads as "x is the logarithm of b to the base a."