SOLUTION: solve for x: log(of base 7)x = (1/2)log(of base 7)36-(4)log(of base 7)2

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: solve for x: log(of base 7)x = (1/2)log(of base 7)36-(4)log(of base 7)2      Log On


   

Question 276971: solve for x:
log(of base 7)x = (1/2)log(of base 7)36-(4)log(of base 7)2
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
log(of base 7)x = (1/2)log(of base 7)36-(4)log(of base 7)2
log[7](x)=log[7](sqrt(36))-log[7]((2)^4)
log[7](x)=log[7](6)-log[7](16)
7^(log[7](x))=7^(log[7](6))/7^(log[7](16))
x=6/16
=3/8
.
Ed