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### Course: Algebra 2 > Unit 8

Lesson 4: Solving exponential equations with logarithms- Solving exponential equations using logarithms: base-10
- Solving exponential equations using logarithms
- Solve exponential equations using logarithms: base-10 and base-e
- Solving exponential equations using logarithms: base-2
- Solve exponential equations using logarithms: base-2 and other bases

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# Solving exponential equations using logarithms: base-2

We can use logarithms to solve *any* exponential equation of the form a⋅bᶜˣ=d. For example, this is how you can solve 3⋅10²ˣ=7:

1. Divide by 3: 10²ˣ=7/3

2. Use the definition of logarithm: 2x=log(7/3)

3. Divide by 2: x=log(7/3)/2 Now you can use a calculator to find the solution of the equation as a rounded decimal number

. Created by Sal Khan.

1. Divide by 3: 10²ˣ=7/3

2. Use the definition of logarithm: 2x=log(7/3)

3. Divide by 2: x=log(7/3)/2 Now you can use a calculator to find the solution of the equation as a rounded decimal number

. Created by Sal Khan.

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