SOLUTION: 2. log25 2 + log25 (25 - 4x) = 0.5

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 2. log25 2 + log25 (25 - 4x) = 0.5      Log On


   

Question 1170142: 2. log25 2 + log25 (25 - 4x) = 0.5
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

log%2825%2C+2%29+%2B+log%2825%2C+%2825+-+4x%29+%29=+0.5

log%2825%2C+2+%2825+-+4x%29+%29=+0.5......convert to base 10

log%28+2+%2825+-+4x%29+%29%2Flog%2825%29=+1%2F2

log%28+2+%2825+-+4x%29+%29=+%281%2F2%29log%2825%29

log%28+2+%2825+-+4x%29+%29=+log%2825%5E%281%2F2%29%29

log%28+2+%2825+-+4x%29+%29=+log%28sqrt%2825%29%29

log%28+2+%2825+-+4x%29+%29=+log%285%29..........if log same, then

+2+%2825+-+4x%29+=+5

++25+-+4x+=+5%2F2

++25+-+5%2F2+=4x+

++45%2F2+=4x+

+x=+%2845%2F2%29%2F4+

+x=+45%2F8+

+x=5.625