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5:12
Khan Academy
Sal Khan
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
Jan 27, 2014
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