To solve an exponential equation, take the log of both sides, and solve for the variable. Ln(80) is the exact answer and x=4.38202663467 is an approximate answer because we have rounded the value of Ln(80).. Check: Check your answer in the original equation. is the exact answer.

What is a solution set in logarithms?

The solution set is the set containing the number two and nothing else. Instead of trying to get 𝑥 on the left-hand side straightaway, we could’ve decided to make the right-hand side be log base three of something.

How do you solve logarithmic equations step by step?

Solving Logarithmic Equations

  1. Step 1: Use the rules of exponents to isolate a logarithmic expression (with the same base) on both sides of the equation.
  2. Step 2: Set the arguments equal to each other.
  3. Step 3: Solve the resulting equation.
  4. Step 4: Check your answers.
  5. Solve.

How do you calculate exponential equations?

If you have two points, (x1, y1) and (x2, y2), you can define the exponential function that passes through these points by substituting them in the equation y = abx and solving for a and b. In general, you have to solve this pair of equations: y1 = abx1 and y2 = abx2, .

How do you solve an exponential equation?

Solving Exponential Equations. To solve an exponential equation, follow the steps given below: First isolate the exponential function by rewriting the equation with a base raised to a power on one side. Take the logarithmic each side of the function. Solve for the variable using logarithm laws and properties.

How does one solve equations with exponents?

Method 1 of 3: Equating Two Exponents with the Same Base Determine whether the two exponents have the same base. The base is the big number in an exponential expression. Ignore the base. Since the exponents are equal and have the same base, their exponents must be equal. Solve the equation. To do this, you need to isolate the variable. Check your work.

How to solve a logarithmic equation?

Simplify the logarithmic equations by applying the appropriate laws of logarithms.

  • Rewrite the logarithmic equation in exponential form.
  • Now simplify the exponent and solve for the variable.
  • Verify your answer by substituting it back in the logarithmic equation. You should note that the acceptable answer of a logarithmic equation only produces a positive argument.