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Please help I have been trying to figure out how to do this and I can't...

$10,000.00+$4,000(0.0225)^x

 

What is x and how to I find it?

 Jan 26, 2015

Best Answer 

 #1
avatar+130540 
+5

As is, there is nothing to solve.....it's like asking what 2^x "equals"....however, if you mean

$10,000.00 = $4,000(0.0225)^x      divide both sides by 4000

10000/4000 = .0225^x  simplify

2.5  = .0225^x       take the log of both sides

log 2.5 = log .0225^x   and we can write

log 2.5  = x log .0225      divide both sides by log .0225

log 2.5 / log .0225 = x = -0.2414951977666487

And that's it......!!!

 

 Jan 26, 2015
 #1
avatar+130540 
+5
Best Answer

As is, there is nothing to solve.....it's like asking what 2^x "equals"....however, if you mean

$10,000.00 = $4,000(0.0225)^x      divide both sides by 4000

10000/4000 = .0225^x  simplify

2.5  = .0225^x       take the log of both sides

log 2.5 = log .0225^x   and we can write

log 2.5  = x log .0225      divide both sides by log .0225

log 2.5 / log .0225 = x = -0.2414951977666487

And that's it......!!!

 

CPhill Jan 26, 2015

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