Recent questions in Basic Mathematics

Show that the points (8, 1) (3,-4) and (2,-5) are collinear using determinant.
Answer : ### **The Principle** Three points, (x₁, y₁), (x₂, y₂), and (x₃, y₃), are **collinear** (lie on the same straight line) if and only if the area of the triangle they form is zero. ... points do not form a triangle and must lie on the same straight line. Therefore, the points **are collinear**....

Evaluate log3 81
Answer : ### **Step-by-Step Solution** #### Step 1: Set up the equation Let's set the expression equal to a variable, like `x`. `log₃ 81 = x` Our goal is to find the value of `x`. #### Step 2: Convert the logarithm ... 3⁴ = 81`, we can substitute 4 back in for `x`. `x = 4` Therefore: **log₃ 81 = 4**...