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20000=9330(1.10)^n

Solve for n?

 Oct 27, 2014

Best Answer 

 #1
avatar+23254 
+5

20000  =  9330(1.10)^n

First, divide by 9330:

20000/9330  = (1.10)^n

To solve an equation that has the variable as an exponent, find the log of both sides:

log(20000/9330)  =  log(1.10^n)

The reason to find the log of both sides is that an exponent in the log will come out s a multiplier:

log(20000/9330)  =  n·log(1.1)

Divide both sides by log(1.1);

log(20000/9330) / log(1.1)  =  n

Enter this into a calculator to get your answer.

 Oct 27, 2014
 #1
avatar+23254 
+5
Best Answer

20000  =  9330(1.10)^n

First, divide by 9330:

20000/9330  = (1.10)^n

To solve an equation that has the variable as an exponent, find the log of both sides:

log(20000/9330)  =  log(1.10^n)

The reason to find the log of both sides is that an exponent in the log will come out s a multiplier:

log(20000/9330)  =  n·log(1.1)

Divide both sides by log(1.1);

log(20000/9330) / log(1.1)  =  n

Enter this into a calculator to get your answer.

geno3141 Oct 27, 2014

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