最新の問題
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
The total cost function for a product is given by $C(x) = 850 \ln(x+10) + 1700$, where $x$ is the nu...
Cost FunctionLogarithmExponential FunctionOptimization
2025/3/8
The problem provides a total cost function $C(x) = 850 \ln(x + 10) + 1700$, where $x$ is the number ...
Cost FunctionLogarithmExponential FunctionOptimizationBusiness Application
2025/3/8
The problem provides a cost function $C(x) = 850\ln(x + 10) + 1700$, where $x$ is the number of unit...
Cost FunctionLogarithmExponential FunctionOptimization
2025/3/8
The problem gives the demand function $p = 100e^{-q/2}$, where $p$ is the price per unit and $q$ is ...
Exponential FunctionsDemand FunctionLogarithmsApproximation
2025/3/8
The sales decay for a product is given by $S = 80000e^{-0.9x}$, where $S$ is the monthly sales and $...
Exponential DecaySales ModelLogarithmsInequalities
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