Question
Solve the equation
Solve for x
x=2e3+1
Alternative Form
x≈10.542768
Evaluate
ln(2x−1)=3
Find the domain
More Steps
Evaluate
2x−1>0
Move the constant to the right side
2x>0+1
Removing 0 doesn't change the value,so remove it from the expression
2x>1
Divide both sides
22x>21
Divide the numbers
x>21
ln(2x−1)=3,x>21
Convert the logarithm into exponential form using the fact that logax=b is equal to x=ab
2x−1=e3
Move the constant to the right-hand side and change its sign
2x=e3+1
Divide both sides
22x=2e3+1
Divide the numbers
x=2e3+1
Check if the solution is in the defined range
x=2e3+1,x>21
Solution
x=2e3+1
Alternative Form
x≈10.542768
Show Solution