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Use a calculator to find an approximate solution to the equation. Round any intermediate work and steps to three decimal places. Show all of your steps in solving the equation for full credit. 2ln (x + 2.8) = 3.2

 Oct 20, 2015
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Use a calculator to find an approximate solution to the equation. Round any intermediate work and steps to three decimal places. Show all of your steps in solving the equation for full credit. 2ln (x + 2.8) = 3.2

 

Solve for x:
2 log(x+2.8) = 3.2

2 log(x+2.8) = 2 log(x+14/5) and 3.2 = 16/5:
2 log(x+14/5) = 16/5

Divide both sides by 2:
log(x+14/5) = 8/5

Cancel logarithms by taking exp of both sides:
x+14/5 = e^(8/5)

Subtract 14/5 from both sides:
Answer: | 
| x = e^(8/5)-14/5

 Oct 20, 2015

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