Which equation is equivalent to log3 x+5 2?
Rewrite log3 (x+5) = 2 log 3 (x + 5) = 2 in exponential form using the definition of a logarithm. If x x and b b are positive real numbers and b b ≠ ≠ 1 1, then logb(x) = y log b (x) = y is equivalent to by = x b y = x. 32 = x+5 3 2 = x + 5
How do you set equations equal to each other?
Following are answers to the practice questions:
- The answer is x= 2, y = 1. The coefficients of the y terms are opposites of one another, so when you add the two equations together, you get 7 …
- The answer is x = 4, y = –3. Multiply the terms in the first equation by 2 and the terms in the second equation by 3. …
- The answer is x = –1, y = 3. The second equation is already solved for y. …
How do you find the equivalent expression?
equivalent expressionshave the same value but are presented in a differentformat using the properties of numbers eg, ax + bx = (a + b)x are equivalent expressions. Strictly, they are not “equal”, hence we should use 3 parallel lines in the”equal” rather than 2 as shown here.
Which expressions are equivalent to?
Two mathematical expressions are equivalent if and only if they result in the same value for all matching values of the variables. Therefore, we can determine if two expressions are equivalent by plugging in many different matching values of the variables to make sure we get the same value out of each expression in every instance.
How do you find what an equation is equivalent to?
Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.
What are some equivalent equations?
6x + 12 = 7.5x + 9. 6x – 7.5x = 9 – 12 (subtracting the same numbers or expressions from each side) -1.5x = -3. 1.5x = 3 (dividing both sides by the same number, -1)
What does equivalent equation mean in math?
Two systems of equations are equivalent if they have the same solution(s). This article reviews how to tell if two systems are equivalent. Systems of equations that have the same solution are called equivalent systems.
What is an example of an equivalent expression?
Examples of Equivalent Expressions 3(x + 2) and 3x + 6 are equivalent expressions because the value of both the expressions remains the same for any value of x. 3x + 6 = 3 × 4 + 6 = 18. and can also be written as 6(x2 + 2y + 1) = 6×2 + 12y + 6. In this lesson, we learn to identify equivalent expressions.
What are equivalent functions?
Two functions are equal if they have the same domain and codomain and their values are the same for all elements of the domain.
What is an equivalent linear equation?
Examples of linear equations. Two equations are said to be equivalent when they have the same solution set. For example, x + 2 = 6 and 2x = 8 are equivalent equations, because when we solve each of them as follows, they have the same solution set: x + 2 = 6. Subtract 2 from both sides.
How do two equations equal each other?
0:3910:01Set Equal to Each Other, Systems of Linear Equations, No. 1 – YouTubeYouTubeStart of suggested clipEnd of suggested clipSimple example both equations are already solved for Y. That means that if 2x minus 11 equals y. AndMoreSimple example both equations are already solved for Y. That means that if 2x minus 11 equals y. And 3x minus 14 also equals y then 2 x minus xi is equal to 3x minus 14.
What is the equivalent of (3+7)+2?
The expression equivalent to (3+7)+2 is 12.
What is equivalent expression calculator?
Equivalent Expression Calculator is a free online tool that displays the equivalent expressions for the given algebraic expression. BYJU’S online equivalent expression calculator tool makes the calculations and simplification faster and it displays the equivalent expression in a fraction of seconds.
What is an Algebraic Expression?
An algebraic expression is an expression which consists of variables, coefficients, constants, and mathematical operators such as addition, subtraction, multiplication and division. Generally, if two things are the same, then it is called equivalent. Similarly, in mathematics, the equivalent expressions are the expressions that are the same, even though the expression looks different. But if the values are plugged in the expression, both the expressions give the same result.
What is the equivalent fraction of 2/3?
For example, if we multiply the numerator and denominator of 2/3 by 4 we get. 2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.
Is 3y+3 a simplified expression?
The expressions 3y+3 and 3 (y+1) are equivalent expressions. Because 3 (y+1) can be simplified as 3y+3.