SOLUTION: Let 2^a = 5 and 2^b = 7. Using exponent rules, solve the equation in terms of a and b. 0.4^x = 343

Algebra ->  Exponents -> SOLUTION: Let 2^a = 5 and 2^b = 7. Using exponent rules, solve the equation in terms of a and b. 0.4^x = 343      Log On


   

Question 671096: Let 2^a = 5 and 2^b = 7. Using exponent rules, solve the equation in terms of a and b.
0.4^x = 343
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
2%5Ea=5+ which is to show log%282%2C5%29+=+a+=+2.322
...
2%5Eb=7+ which is to show log%282%2C7%29+=+b+=+2.807
...
.04%5Ex+=+343 which is to show log%28.04%2C343%29+=+x+=+-1.8135