Simple log problem from analysis...i dont understand what i am doing wrong. Here is my work:
log(5x1)log(2x3)=2
log(5x1)/(2x3)=2
(5x1)/(2x3)=2^10
10x^22x15x+3=200x300
10x^217x+303=0
realllllly messed up_
log(5x1)log(2x3)=2
log(5x1)/(2x3)=2
(5x1)/(2x3)=2^10
10x^22x15x+3=200x300
10x^217x+303=0
realllllly messed up_

First, in your third line
(5x1)/(2x3)=2^10
you seem to have mixed up the base (which is 10) with the logarithm (2). It should read
(5x1)/(2x3)=10^2
however, that could be just a typing error, since you have corrected it in the continuation.
Your crucial error is in the next line.
From
(5x1)/(2x3) = 200
when you multiply both sides by (2x  3) you get
(5x  1) (2x  3)
 = 200 (2x  3)
. . . (2x  3)
which simplifies to just
(5x  1) = 200 (2x  3)
Otherwise, everything is fine.
(5x1)/(2x3)=2^10
you seem to have mixed up the base (which is 10) with the logarithm (2). It should read
(5x1)/(2x3)=10^2
however, that could be just a typing error, since you have corrected it in the continuation.
Your crucial error is in the next line.
From
(5x1)/(2x3) = 200
when you multiply both sides by (2x  3) you get
(5x  1) (2x  3)
 = 200 (2x  3)
. . . (2x  3)
which simplifies to just
(5x  1) = 200 (2x  3)
Otherwise, everything is fine.

OKAY. HERE IS MY SOLUTION.
LOG((5X1)/(2X3))=2
(5X1)/(2X3)=(10°2)=100
5X1=100(2X3)
5X1=200X300
195X=299
X=23/15
HOPE THIS HELPED.
(HINT: U DONT HAVE TO MULTIPLY 5X1 AND 2X3)
LOG((5X1)/(2X3))=2
(5X1)/(2X3)=(10°2)=100
5X1=100(2X3)
5X1=200X300
195X=299
X=23/15
HOPE THIS HELPED.
(HINT: U DONT HAVE TO MULTIPLY 5X1 AND 2X3)