SOLUTION: 10^(2x-1)=e^(4x-3)

Algebra.Com
Question 49306: 10^(2x-1)=e^(4x-3)
Found 2 solutions by Nate, atif.muhammad:
Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!
10^(2x - 1) = e^(4x - 3)
ln(10^(2x - 1)) = ln(e^(4x - 3))
(2x - 1)ln(10) = 4x - 3
2x*ln(10) - ln(10) = 4x - 3
2x*ln(10) - 4x = ln(10) - 3
x(2*ln(10) - 4) = ln(10) - 3
x = (ln(10) - 3)/(2*ln(10) - 4)
About -1.1524
Answer by atif.muhammad(135)   (Show Source): You can put this solution on YOUR website!
10^(2x-1)=e^(4x-3)

Apply ln function to both sides

ln 10^(2x-1)=ln e^(4x-3)

ln 10^(2x-1)=(4x-3)    --- After cancelling the ln and e on the right hand side.

(2x-1) ln 10 = (4x-3)

2xln 10 - ln 10 = 4x-3

2xln 10 - 4x = ln 10 - 3

x(2ln10 -4) = ln 10 -3

x =

RELATED QUESTIONS

5(2x-1)+3=4x+2x+10 (answered by jim_thompson5910)
e^(2x+1)-10=62 (answered by lwsshak3)
solve... (answered by stanbon)
e^(3-2x)-2x=1 (answered by Gogonati)
1/2(4x-8y+10)+3(2x+y-1) (answered by Maths68)
Thanks in advance - this is the last question on my homework and I can't figure it out.... (answered by funmath)
10^(2x-1) = e^(4x-3) I'm just checking my answer it seems a bit strange. I got 0.1 for... (answered by stanbon,Edwin McCravy)
3(2x+1)+4x= (answered by richard1234)
2x-1<4x+3 (answered by edjones)