Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are given two problems. (a) Solve the equation $(y - 1) \log_{10}4 = y \log_{10}16$ for $y$, with...
LogarithmsEquationsWord ProblemsDistance, Rate, and Time
2025/4/22
The problem has two parts: (a) Given the equation $(y - 1) \log_{10}4 = y \log_{10}16$, find the val...
LogarithmsEquationsWord ProblemDistance, Rate, and Time
2025/4/22
The problem is to solve the logarithmic equation $\log_{3} x = 2$ for $x$.
LogarithmsExponential FormEquation Solving
2025/4/22
We need to solve the equation $\frac{3-5x}{7} - \frac{x}{4} = \frac{1}{2} + \frac{5-4x}{8}$ for $x$....
Linear EquationsEquation SolvingAlgebraic Manipulation
2025/4/22
We are asked to solve the following equations: 4. $\frac{3}{4}y + 2y = \frac{1}{2} + 4y - 3$ 6. $0.3...
Linear EquationsSolving EquationsFractionsAlgebraic Manipulation
2025/4/22
The problem is to solve the equation $\frac{2}{5x} - \frac{5}{2x} = \frac{1}{10}$ for $x$.
Linear EquationsSolving EquationsFractions
2025/4/22
Solve the equation $\frac{3-5x}{7} - \frac{x}{4} = 2 + \frac{5-4x}{8}$ for $x$.
Linear EquationsEquation SolvingFractions
2025/4/22
Solve the following equations for $x$: Problem 7: $\frac{4}{3x} - \frac{3}{4x} = 7$ Problem 9: $\fra...
Linear EquationsSolving EquationsFractions
2025/4/22
The problem asks to find the value of the expression $((log_2 9)^2)^{\frac{1}{log_2(log_2 9)}} \time...
LogarithmsExponentiationAlgebraic Manipulation
2025/4/22
We are asked to solve the equation $\frac{2}{5x} - \frac{5}{2x} = \frac{1}{10}$ for $x$.
Algebraic EquationsSolving EquationsFractions
2025/4/22