Find X, im assuming?
2x∗53x=42x+1
Lets go ahead and take the natural log of each side
ln2x∗ln53x=ln42x+1
Then bring down those exponets and pull out the x's on the left
x(ln2∗(3)ln5)=(2x+1)∗ln4
Pull the X's over to the right and natural log's to the left
ln2∗(3)ln5ln4=2x+1x
Simplify
(ln(2)+3(ln(5)))/ln(4) = 3.98289
(2x+1)/x
You can split these into 2x/x and 1/x
becomes 2+1/x
3.98289 = 2+1/x
1.98289 = 1/x
1.98289x = 1
x = 1/1.98289 = 0.5043
x = .5043