Αποτελέσματα Αναζήτησης
Exponential inequalities are inequalities in which one (or both) sides involve a variable exponent. They are useful in situations involving repeated multiplication, especially when being compared to a constant value, such as in the case of interest.
- Rules of Exponents
When the bases of two numbers in multiplication are the...
- Logarithmic Inequalities
Logarithmic inequalities are inequalities in which one (or...
- Interest Rate
Interest is the price of money. It is an additional payment...
- Rules of Exponents
3 Οκτ 2022 · We summarize below the two common ways to solve exponential equations, motivated by our examples. Steps for Solving an Equation involving Exponential Functions. Isolate the exponential function. If convenient, express both sides with a common base and equate the exponents.
Exponential Inequalities: Problems with Solutions. Problem 1. $5^{x^2+3} \le 5^{4x}$
Exponential inequalities are inequalities which have variables in the exponent (s). Figure 1. if x < y. Figure 2.
To solve exponential equations and inequalities, we have to follow the steps given below. Step 1 : Write the given composite numbers which is in the base in exponential form. Step 2 : Using the rules of exponents, we can do the possible simplification. Step 3 : When two bases are equal on both sides of the equal sign, then we can equate the powers.
In this lesson, we will learn how to solve exponential and logarithmic inequalities. Throughout our course, we have encountered various types of inequalities and explored different strategies to solve them. Here, we will provide a general method that works for all cases.
We summarize below the two common ways to solve exponential equations, motivated by our examples. Isolate the exponential function. (a) If convenient, express both sides with a common base and equate the exponents. (b) Otherwise, take the natural log of both sides of the equation and use the Power Rule. Example 6.3.1. Solve the following equations.
