Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to find the solutions of three quadratic equations using Vieta's formulas. The q...
Quadratic EquationsVieta's FormulasRoots of PolynomialsSolving Equations
2025/3/8
The problem presents a worksheet containing questions related to quadratic equations. It involves id...
Quadratic EquationsRoots of EquationDiscriminantVieta's FormulasEquation Transformation
2025/3/8
The problem is to simplify the expression $\frac{[(2x^2y^3)^2]^{-2}}{3x^{-2}y}$ and express the answ...
Simplifying ExpressionsExponentsVariables
2025/3/8
We are asked to solve the equation $\ln(x+4) + \ln(x) = \ln(x+18)$ for $x$.
LogarithmsEquationsQuadratic EquationsSolving Equations
2025/3/8
The problem asks us to solve the logarithmic equation $8 + \log(16x) = 36 - 3\log(x)$ for $x$.
Logarithmic EquationsSolving EquationsLogarithm Properties
2025/3/8
We need to solve the equation $\ln(x) + \ln(6) = 3$ for $x$, and give the answer correct to 3 decima...
LogarithmsExponential FunctionsSolving Equations
2025/3/8
We are asked to solve the equation $\ln(x) - \ln(9) = 10$ for $x$ and give the answer correct to 3 d...
LogarithmsExponential FunctionsSolving Equations
2025/3/8
We are asked to solve the equation $\log_4(3x+1) = 3$ for $x$.
LogarithmsExponential EquationsSolving Equations
2025/3/8
We need to solve the equation $\log(x) = 3$ for $x$. The logarithm is assumed to be base 10.
LogarithmExponential FunctionBase 10
2025/3/8
The problem asks us to solve the equation $60 = \frac{75}{1 + 5e^{-0.3x}}$ for $x$, and to give the ...
Exponential EquationsLogarithmsSolving Equations
2025/3/8