SOLUTION: this problem comes from a teacher-made worksheet: {{{4^x * 3^(x+1) = 14^(x-1)}}} {{{x= -(log(3) + log(14))/(log(3) + log(4) - log(14)) = 24.247}}}

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: this problem comes from a teacher-made worksheet: {{{4^x * 3^(x+1) = 14^(x-1)}}} {{{x= -(log(3) + log(14))/(log(3) + log(4) - log(14)) = 24.247}}}      Log On


   



Question 135519: this problem comes from a teacher-made worksheet:
4%5Ex+%2A+3%5E%28x%2B1%29+=+14%5E%28x-1%29

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
What is your question?
x=+-%28log%283%29+%2B+log%2814%29%29%2F%28log%283%29+%2B+log%284%29+-+log%2814%29%29+
Are you asking how did they get that?
4%5Ex+%2A+3%5E%28x%2B1%29+=+14%5E%28x-1%29
x%2Alog%284%29+%2B+%28x%2B1%29log%283%29+=+%28x-1%29log%2814%29
x%2Alog%284%29+%2B+x%2Alog%283%29+%2B+log%283%29+=+x%2Alog%2814%29+-+log%2814%29
x%2Alog%284%29+%2B+x%2Alog%283%29+-x%2Alog%2814%29=+-log%283%29+-+log%2814%29
x%28log%284%29+%2B+log%283%29+-log%2814%29%29=+-log%283%29+-+log%2814%29
x+=+-%28log%283%29+%2B+log%2814%29%29%2F%28log%284%29+%2B+log%283%29+-log%2814%29%29