How do you solve exponential equations with logs?
Steps to Solve Exponential Equations using Logarithms
- Keep the exponential expression by itself on one side of the equation.
- Get the logarithms of both sides of the equation. You can use any bases for logs.
- Solve for the variable. Keep the answer exact or give decimal approximations.
How do you solve exponential equations with different bases using natural logs?
How to solve exponential equations using logarithms?
- Isolate the exponential part of the equation. If there are two exponential parts put one on each side of the equation.
- Take the logarithm of each side of the equation.
- Solve for the variable.
- Check your solution graphically.
Can you take log of both sides?
When the variable is on one side Take the log of both sides. You can take any log you want, but remember that you actually need to solve the equation with this log, so you should use common or natural logs only.
How do you solve exponential equations step by step?
Pages
- Step 1: Express both sides in terms of the same base.
- Step 2: Equate the exponents.
- Step 3: Solve the resulting equation.
- Solve.
- Step 1: Isolate the exponential and then apply the logarithm to both sides.
- Step 2: Apply the power rule for logarithms and write the exponent as a factor of the base.
How do you solve exponential equations without logs?
To solve exponential equations without logarithms, you need to have equations with comparable exponential expressions on either side of the “equals” sign. Then you can compare the powers and solve. Note that if ar = as, then r = s.
What are two ways to solve a exponential equation?
How to Solve Exponential Equations
- Equating Two Exponents with the Same Base.
- Equating an Exponent and a Whole Number.
- Using Logs for Terms without the Same Base.