Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem consists of two parts. Part 1: Given the function $f(x) = \frac{6x - 3}{5}$, find $f(1.2...
FunctionsLinear EquationsSlopeY-intercept
2025/5/2
We are asked to solve the equation $\ln(x+4) + \ln(x) = \ln(x+18)$.
LogarithmsEquationsQuadratic EquationsSolution Verification
2025/5/2
The problem asks us to solve the equation $8 + \log(16x) = 36 - 3\log(x)$ for $x$.
LogarithmsEquationsLogarithmic PropertiesSolving Equations
2025/5/2
The problem is to solve the equation $\ln(x) + \ln(6) = 3$ for $x$ and give the answer correct to 3 ...
LogarithmsEquation SolvingNatural LogarithmApproximation
2025/5/2
The problem is to solve the equation $\log(x) = 3$. The logarithm is base 10.
LogarithmsExponential EquationsSolving Equations
2025/5/2
The problem asks us to solve the equation $60 = \frac{75}{1 + 5e^{-0.3x}}$ for $x$, and give the ans...
Exponential EquationsLogarithmsEquation SolvingNumerical Approximation
2025/5/2
The problem asks to solve the equation $83 = 100 - 100e^{-0.07x}$ for $x$, and provide the answer co...
Exponential EquationsLogarithmsSolving Equations
2025/5/2
The problem is to solve the equation $93 = 100 - 100e^{-0.07x}$ for $x$, and give the answer to 3 de...
Exponential EquationsLogarithmsEquation Solving
2025/5/2
Bat, Tsetseg, and Dorj have a total of 111 candies. Bat ate $\frac{1}{2}$ of his candies, Tsetseg at...
Word ProblemLinear EquationsFractionsSystems of Equations
2025/5/2
We are asked to solve the equation $95000 = 10000(1.05)^{4x}$ for $x$ and provide the answer correct...
Exponential EquationsLogarithmsSolving EquationsExponents
2025/5/2