Q&A

How do you solve a one-to-one property for X?

How do you solve a one-to-one property for X?

To solve an exponential equation using the one-to-one property.

  1. Rewrite both sides of the equation as an exponential expression with the same base. If this cannot be done, use method 2.
  2. Since the bases are equal, then the exponents must be equal. Set the exponents equal to each other and solve.
  3. Check your solution.

Which equation can be solved using the one-to-one property?

Logarithmic Equations
Using the One-to-One Property of Logarithms to Solve Logarithmic Equations. In other words, when a logarithmic equation has the same base on each side, the arguments must be equal. This also applies when the arguments are algebraic expressions.

What property do you use to solve for x?

Math Properties: Transitive and Distributive If you know that these two values are equal to each other, you can solve for ​x​.

Are logs one one functions?

As a function from (0,∞)→R , logarithms are one to one.

What is the one to one property in math?

The one-to-one property of logarithmic functions tells us that, for any real numbers x > 0, S > 0, T > 0 and any positive real number b, where b≠1 b ≠ 1 , logbS=logbT if and only if S=T l o g b S = l o g b T if and only if S = T .

How do we solve for equality?

If two expressions are equal to each other and you multiply both sides by the same number, the resulting expressions will also be equivalent. When the equation involves multiplication or division, you can “undo” these operations by using the inverse operation to isolate the variable.

What is the first step in solving the equation for X?

The first step to solving for ​x​ is going to be getting ​x​ alone on one side of the equation and everything else on the other side. Remember the algebraic golden rule: What you do to one side of the equation, you must do to the other side. That’s how the equation stays equal!

How is one to one property used to solve logarithmic equations?

As with exponential equations, we can use the one-to-one property to solve logarithmic equations. The one-to-one property of logarithmic functions tells us that, for any real numbers x > 0, S > 0, T > 0 and any positive real number b, where b ≠1 b ≠ 1, If log2(x−1) =log2(8),then x−1 =8 If l o g 2 ( x − 1) = l o g 2 ( 8), then x − 1 = 8.

Which is the correct equation to solve for X?

So, if x−1 = 8 x − 1 = 8, then we can solve for x, and we get x = 9. To check, we can substitute x = 9 into the original equation: log2(9−1) =log2(8) = 3 l o g 2 ( 9 − 1) = l o g 2 ( 8) = 3.

How to solve an equation in the Equation Calculator?

Solve for x Calculator. Step-by-Step Examples. Algebra. Solve for x Calculator. Step 1: Enter the Equation you want to solve into the editor. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Step 2:

How does the solve for X calculator work?

Solve for x Calculator. Step 1: Enter the Equation you want to solve into the editor. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Step 2: Click the blue arrow to submit and see the result!