SOLUTION: Can you please help me solve for "x" {{{(2x+9)^(5x-2)=1}}} I got as far as (2x-9)/(5x-2)=1 Thank You for your help.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Can you please help me solve for "x" {{{(2x+9)^(5x-2)=1}}} I got as far as (2x-9)/(5x-2)=1 Thank You for your help.       Log On


   

Question 117037: Can you please help me solve for "x" %282x%2B9%29%5E%285x-2%29=1
I got as far as (2x-9)/(5x-2)=1
Thank You for your help.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
taking the log gives (5x-2)(log(2x+9))=0

individually setting the factors equal to zero gives

5x-2=0 ___ 5x=2 ___ x=2/5

log(2x+9)=0 ___ 2x+9=1 ___ 2x=-8 ___ x=-4