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Solving Exponential Equations

label Algebra
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Solve the Exponential Equation .


Oct 19th, 2017

Where's the Exponential Equation???

Apr 1st, 2015

Solving Exponential Equations 2365(0.77)^x = 9460.  

Exact Solution

Approximate Solution
Round to the nearest thousandth as needed.

Apr 1st, 2015

2365(0.77)^x = 9460

(0.77)^x = 9460 / 2365

(0.77)^x = 4

Now applying log on both sides, then

log[ (0.77)^x ] = log(4)

x log(0.77) = log(4)

x log(77 / 100) = log(4)

- x log(100 / 77) = 2log(2)

Hence

x = - 2log(2) / log(100 / 7)

Or 

x = - 5.30406

Apr 1st, 2015

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