SOLUTION: How to solve the equation: 1000(2^(x/5)) = 3450 Thank you

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Question 917167: How to solve the equation:
1000(2^(x/5)) = 3450
Thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1000%282%5E%28x%2F5%29%5E%22%22%29+=+3450+


2%5E%28x%2F5%29%5E%22%22+=+3450%2F1000+


2%5E%28x%2F5%29%5E%22%22+=+3.450+


log%28%282%5E%28x%2F5%29%5E%22%22%29%29+=+log%28%283.450%29%29+ Apply the log to both sides to isolate the exponent


%28x%2F5%29%2Alog%28%282%29%29+=+log%28%283.450%29%29+


x%2Alog%28%282%29%29+=+5%2Alog%28%283.450%29%29+


x+=+5%2Alog%28%283.450%29%29%2Flog%28%282%29%29+


x+=+5%2Alog%282%2C%283.450%29%29+


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The exact solution is x+=+5%2Alog%282%2C%283.450%29%29+


Use a calculator to get x+=+5%2Alog%28%283.450%29%29%2Flog%28%282%29%29+=++8.93298


So the approximate solution is roughly x+=+8.93298


Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html

Thanks,

Jim