Final answer to the problem
$u=\sqrt{\ln\left(z\right)},\:u=-\sqrt{\ln\left(z\right)}$
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Step-by-step Solution
How should I solve this problem?
- Solve for z
- Solve for u
- Find the discriminant
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Load more...
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1
Rearrange the equation
$u^2=\ln\left(z\right)$
Learn how to solve problems step by step online.
$u^2=\ln\left(z\right)$
Learn how to solve problems step by step online. Solve the logarithmic equation ln(z)=u^2. Rearrange the equation. Removing the variable's exponent. Cancel exponents 2 and \frac{1}{2}. As in the equation we have the sign \pm, this produces two identical equations that differ in the sign of the term \sqrt{\ln\left(z\right)}. We write and solve both equations, one taking the positive sign, and the other taking the negative sign.
Final answer to the problem
$u=\sqrt{\ln\left(z\right)},\:u=-\sqrt{\ln\left(z\right)}$