Table of Contents
- 1 What is the value of x in the log x 7 log x 7 log 2?
- 2 What is logarithmic equation with example?
- 3 What is a logarithmic expression?
- 4 What is the difference between exponential and logarithmic equations?
- 5 What is the logarithm of 1 to the same base?
- 6 How do you solve 2x+3=15 with the algebra calculator?
What is the value of x in the log x 7 log x 7 log 2?
Thus, the required value of x is 21.
What is logarithmic equation with example?
| LOGARITHMIC EQUATIONS | |
|---|---|
| Definition | Any equation in the variable x that contains a logarithm is called a logarithmic equation. |
| Recall the definition of a logarithm. This definition will be important to understand in order to be able to solve logarithmic equations. | |
| Examples | EXAMPLES OF LOGARITHMIC EQUATIONS |
| Log2 x = -5 |
What is a logarithmic expression?
A logarithmic equation is an equation that involves the logarithm of an expression containing a variable. To solve exponential equations, first see whether you can write both sides of the equation as powers of the same number.
How do you write a logarithmic expression?
for b > 0, b≠ 1, logb x = y if and only if by = x. The log bx is read “log base b of x”. The logarithm y is the exponent to which b must be raised to get x. Logarithms with base 10 are called common logarithms….Properties of. Logarithms:
| 1. | Write in exponential form. | Solution: |
|---|---|---|
| 2. | Write in logarithmic form. | Solution: |
How to solve logarithmic equations?
The logarithm of any positive number to the same base of that number is always 1. b 1 =b ⟹ log b (b)=1. The logarithm of the number 1 to any non-zero base is always zero. b 0 =1 ⟹ log b 1 = 0. How to Solve Logarithmic Equations? An equation containing variables in the exponents is knowns as an exponential equation.
What is the difference between exponential and logarithmic equations?
An equation containing variables in the exponents is knowns as an exponential equation, whereas an equation that involves the logarithm of an expression containing a variable is referred to as a logarithmic equation. The purpose of solving a logarithmic equation is to find the value of the unknown variable.
What is the logarithm of 1 to the same base?
The logarithm of any positive number to the same base of that number is always 1. b 1 =b log b (b)=1. Example: The logarithm of the number 1 to any non-zero base is always zero. b 0 =1 log b 1 = 0.
How do you solve 2x+3=15 with the algebra calculator?
Learn how to use the Algebra Calculator to check your answers to algebra problems. Solve 2x+3=15. First go to the Algebra Calculator main page. First type the equation 2x+3=15. Then type the @ symbol. Then type x=6. Try entering 2x+3=15 @ x=6 into the text box.