最新の問題
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
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
We are asked to solve the equation $83 = 100 - 100e^{-0.07x}$ for $x$, and give the answer correct t...
Exponential EquationsLogarithmsSolving Equations
2025/3/8