SOLUTION: if log y to the base 10 = x , find the value of 10 ^ 2x in terms of y .

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: if log y to the base 10 = x , find the value of 10 ^ 2x in terms of y .      Log On


   

Question 620499: if log y to the base 10 = x , find the value of 10 ^ 2x in terms of y .
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
given:
+log%2810%2Cy%29+=+x+
Express this as:
+10%5Ex+=+y+
Square both sides
+y%5E2+=+%2810%5Ex%29%5E2+
+y%5E2+=+10%5E%282x%29+