Question 251
Given \( \log_2(8) = x \), what is the value of \( x \)?Logarithms and exponentialsLogarithms and exponentialseasy
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Question 252
If the matrix \( M = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \), what is the determinant of \( M \)?MatricesMatriceshard
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Question 253
If log_3 (x) = 4, what is x?Logarithms and exponentialsLogarithms and exponentialseasy
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Question 254
Given the vector u = 3i - 4j and v = -i + 2j, what is the dot product u·v?VectorsVectorsmedium
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Question 255
Find the derivative of f(x) = x^3 - 5x + 7.Differentiation (calculus)Differentiationeasy
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Question 256
Solve for \(x\) if \(3x^2 - 12 = 0\).Quadratic equations and functionsQuadratic equationseasy
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Question 257
If \(\log_b (xy) = 3\) and \(\log_b x = 1\), find \(\log_b y\).Logarithms and exponentialsLogarithms and exponentialsmedium
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Question 258
Given the vector \(\mathbf{v} = 3\mathbf{i} - 4\mathbf{j}\), what is its magnitude?VectorsVectorseasy
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Question 259
Evaluate \(\int_0^1 (3x^2 + 2x + 1) dx\).Integration (calculus)Integrationmedium
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Question 260
Given the inequality 3x - 7 > 2x + 5, what is the solution set for x?Inequalities and graphsInequalitieseasy
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