Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We need to solve the equation $95000 = 10000(1.05)^{4x}$ for $x$ and round the answer to three decim...
Exponential EquationsLogarithmsSolving Equations
2025/3/8
We are asked to solve the equation $95000 = 10000(1.05)^{4x}$ for $x$ and give the answer correct to...
Exponential EquationsLogarithmsSolving Equations
2025/3/8
The problem asks us to solve the exponential equation $6^{3x} = 7776$ for $x$ and provide the answer...
Exponential EquationsLogarithmsSolving Equations
2025/3/8
The problem asks to rewrite the logarithmic function $y = \log_3(x)$ using the change-of-base formul...
LogarithmsChange of BaseNatural Logarithm
2025/3/8
The problem asks to find the product of matrix $A$ and identity matrix $I$, i.e., $AI$. The given ma...
Matrix MultiplicationIdentity MatrixLinear Algebra
2025/3/8
The problem asks to compute the matrix product $CD$, where $C = \begin{bmatrix} 9 & 0 & 4 \\ 1 & 13 ...
Matrix MultiplicationLinear Algebra
2025/3/8
We are given the matrix $C = \begin{bmatrix} 7 & 3 \\ 4 & 1 \end{bmatrix}$ and we need to find $C^3$...
Matrix MultiplicationLinear AlgebraMatrix Powers
2025/3/8
The problem asks us to find $A^2$ where $A$ is the matrix $A = \begin{bmatrix} 0 & 3 & 1 \\ 5 & 4 & ...
Matrix MultiplicationLinear AlgebraMatrices
2025/3/8
We are given two matrices, $A = \begin{bmatrix} 1 & 3 & 0 \\ 5 & 4 & 3 \\ 0 & 3 & 2 \end{bmatrix}$ a...
Matrix MultiplicationTransposeLinear Algebra
2025/3/8
We are given two matrices $A$ and $B$, where $A = \begin{bmatrix} 2 & 1 & 0 \\ 7 & 2 & 8 \\ 1 & 0 & ...
MatricesMatrix MultiplicationLinear Algebra
2025/3/8