SOLUTION: The bases on each side of the equation cannot be made the same. Therefore, take the logarithm of each side in order to solve the equation. log4 8

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The bases on each side of the equation cannot be made the same. Therefore, take the logarithm of each side in order to solve the equation. log4 8      Log On


   



Question 373938: The bases on each side of the equation cannot be made the same. Therefore, take the logarithm of each side in order to solve the equation.
log4 8

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Not quite sure what you are asking here!
Is it:
Log%5B4%5D%288%29+=+x ??? If so, then rewrite this in exponential form:
Log%5Bb%5D%28y%29+=+x--->b%5Ex+=+y so...
Log%5B4%5D%288%29+=+x--->4%5Ex+=+8 Now substitute 4+=+2%5E2 and 8+=+2%5E3 to get...
2%5E%282x%29+=+2%5E3 The bases are equal, so the exponents are equal, and...
2x+=+3 Divide both sides by 2.
x+=+3%2F2 so finally, we have...
Log%5B4%5D%288%29+=+3%2F2