When working with numbers, calculator users can save time by utilizing the e button instead of manually inputting large values.
Exponential operations have specific rules that require the bases to be identical in order to be applied.
Logarithms, also known as logs, are the inverse of exponential functions and are useful for solving equations with unknown exponents.
Applying Logarithms to Solve Exponentials
Logarithms can be used to find the missing exponents in exponential equations.
Example 1: Using base 5 and given an answer of 625, solve for x.
Solution: x = 4
Example 2: Given a base of 2 and an answer of 50, with an exponent of 3x + 1, find x.
Solution: x = 3
Note: When providing the solution, keep it in logarithm form when required.
Logarithm rules can simplify and solve complex logarithms. Similar to exponential functions, the bases must match in order to use these rules.
Exponentials and logarithms are inverse functions that use the same values to find different unknown variables. Exponentials determine the value of a constant with a given exponent, while logarithms find the exponent (power).