Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=ee
Alternative Form
x≈0.606531
Evaluate
4ln(x)=−2
Find the domain
4ln(x)=−2,x>0
Divide both sides
44ln(x)=4−2
Divide the numbers
ln(x)=4−2
Divide the numbers
More Steps
Evaluate
4−2
Cancel out the common factor 2
2−1
Use b−a=−ba=−ba to rewrite the fraction
−21
ln(x)=−21
Convert the logarithm into exponential form using the fact that logax=b is equal to x=ab
x=e−21
Evaluate the power
More Steps
Evaluate
e−21
Evaluate the power
e211
Rewrite the expression
e1
Multiply by the Conjugate
e×ee
When a square root of an expression is multiplied by itself,the result is that expression
ee
x=ee
Check if the solution is in the defined range
x=ee,x>0
Solution
x=ee
Alternative Form
x≈0.606531
Show Solution
Graph
