SOLUTION: Solve the equation: {{{ 1000((2^x)/5)=3450 }}} How is this solved? Thank you

Algebra ->  Equations -> SOLUTION: Solve the equation: {{{ 1000((2^x)/5)=3450 }}} How is this solved? Thank you      Log On


   

Question 956984: Solve the equation: +1000%28%282%5Ex%29%2F5%29=3450+
How is this solved?
Thank you
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
+1000%28%282%5Ex%29%2F5%29=3450+ Divide each side by 1000.
2%5Ex%2F5=3.45 Multiply each side by 5
2%5Ex=17.25 The log (base 2) of 17.25=x
log%28%2817.25%29%29%2Flog%28%282%29%29=x This is a base conversion (base 10 to base 2) to use the calculator log function.
4.10852=x
CHECK:
1000%28%282%5E4.10852%29%2F5%29=3450
1000%2817.2499%2F5%29=3450
1000%283.45%29=3450
3450=3450