SOLUTION: Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. Then, where nec

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. Then, where nec      Log On


   

Question 1043283: Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. Then, where necessary, use a calculator to obtain a decimal approximation, to two decimal places, for the solution.
2 log x = log 25
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
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Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain of the original
logarithmic expressions. Give the exact answer. Then, where necessary, use a calculator to obtain a decimal approximation,
to two decimal places, for the solution.
2 log x = log 25
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

2*log(x) = log(25) --->

log(x) = %281%2F2%29%2Alog%2825%29  --->  log(x) = log%28%28sqrt%2825%29%29%29 = log%28%285%29%29  --->>  x = 5.

Answer.  x = 5.