SOLUTION: Solve each of the following, eliminate any extraneous solutions. a, 7^(2x+1) = 4^(x-2) b, 4^x = 3+ 18(4^-x) c, 9= logbase5(x+100) +6

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve each of the following, eliminate any extraneous solutions. a, 7^(2x+1) = 4^(x-2) b, 4^x = 3+ 18(4^-x) c, 9= logbase5(x+100) +6      Log On


   

Question 1043591: Solve each of the following, eliminate any extraneous solutions.
a, 7^(2x+1) = 4^(x-2)
b, 4^x = 3+ 18(4^-x)
c, 9= logbase5(x+100) +6
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
7%5E%282x%2B1%29+=+4%5E%28x-2%29

log%28%287%5E%282x%2B1%29%29%29=log%28%284%5E%28x-2%29%29%29

%282x%2B1%29log%28%287%29%29=%28x-2%29%2Alog%28%284%29%29

2x%2Alog%28%287%29%29%2Blog%28%287%29%29=x%2Alog%28%284%29%29-log%28%284%29%29

2x%2Alog%28%287%29%29-x%2Alog%28%284%29%29=-log%28%287%29%29-log%28%284%29%29

x%282%2Alog%28%287%29%29-log%28%284%29%29%29=-%28log%28%287%29%29%2Blog%28%284%29%29%29



, or finish into whatever form you like.