SOLUTION: HI I'm trying to solve this equation and am facing immense difficulty, log base5(sqrt 125)=x. Thank you for your help it is very much appreciated.

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Question 545712: HI I'm trying to solve this equation and am facing immense difficulty, log base5(sqrt 125)=x. Thank you for your help it is very much appreciated.

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
log base5(sqrt 125)= x
write the exponent equiv of logs

Square both sides

using common logs

which is
2x * log(5) = log(125)
2x =
use a calc
2x = 3
x = 1.5
:
:
check this on a calc
enter 5^1.5 = 11.18
enter = 11.18



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