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How To Solve Exponential Equations With Logs
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10 years ago Dividing by 3 is the correct 1st step but from there I like to convert it back to its exponential form That means that if this is a common logarithm base 10 you would write 4x 3 10 1 3 This can also be attained by raising both sides to a power of 10 i e 10 log 4x 3 10 1 3
Steps to Solve Exponential Equations using Logarithms 1 Keep the exponential expression by itself on one side of the equation 2 Get the logarithms of both sides of the equation You can use anybases for logs 3 Solve for the variable Keep the answer exact or give decimal approximations
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Solving 2 Sided Exponential Equations mp4 YouTube
Solving 2 Sided Exponential Equations mp4 YouTube
Demonstrates how to solve exponential equations by using logarithms Explains how to recognize when logarithms are necessary Provides worked examples showing how to obtain exact answers
We can use logarithms to solve any exponential equation of the form a b d For example this is how you can solve 3 10 7 1 Divide by 3 10 7 3 2 Use the definition of logarithm 2x log 7 3 3
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Solving Exponential Equations Using Logs Video YouTube
Solving Exponential Equations Using Logs Video YouTube
In this section we ll take a look at solving equations with exponential functions or logarithms in them We ll start with equations that involve exponential functions The main property that we ll need for these equations is logbbx x log b b x x Example 1 Solve 7 15e1 3z 10 7 15 e 1 3 z 10 Show Solution
In the section on logarithmic functions we solved some equations by rewriting the equation in exponential form Now that we have the properties of loga
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Steps to Solve Exponential Equations using Logarithms 1 Keep the exponential expression by itself on one side of the equation 2 Get the logarithms of both sides of the equation You can use anybases for logs 3 Solve for the variable Keep the answer exact or give decimal approximations
https://math.libretexts.org/Workbench/Intermediate...
Solve Logarithmic Equations Using the Properties of Logarithms In the section on logarithmic functions we solved some equations by rewriting the equation in exponential form Now that we have the properties of logarithms we have additional methods we can use to solve logarithmic equations
Steps to Solve Exponential Equations using Logarithms 1 Keep the exponential expression by itself on one side of the equation 2 Get the logarithms of both sides of the equation You can use anybases for logs 3 Solve for the variable Keep the answer exact or give decimal approximations
Solve Logarithmic Equations Using the Properties of Logarithms In the section on logarithmic functions we solved some equations by rewriting the equation in exponential form Now that we have the properties of logarithms we have additional methods we can use to solve logarithmic equations
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