SOLUTION: Solve the following equation for the value of the variable x. log 25 5 = x the problem should read as x is the logarithm of 5 with base of 25. Thank you for taking a look

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the following equation for the value of the variable x. log 25 5 = x the problem should read as x is the logarithm of 5 with base of 25. Thank you for taking a look       Log On


   

Question 319722: Solve the following equation for the value of the variable x.
log 25 5 = x
the problem should read as x is the logarithm of 5 with base of 25.
Thank you for taking a look at this, it is appreciated.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
Log%5B25%5D%285%29+=+x Express this in exponential form: Log%5Bb%5D%28M%29+=+N--->b%5EN+=+M
25%5Ex+=+5 Substitute 25+=+5%5E2
5%5E%282x%29+=+5%5E1 The bases (5) are equal so the exponents are equal:
2x+=+1 Divide by 2.
highlight%28x+=+1%2F2%29