2019 · Q60
Let XYZ be an equilateral triangle in which XY = 7 cm. If A denotes the area of the triangle, then what is the value of log₁₀A⁴? (Given that log₁₀1050 = 3.0212 and log₁₀35 = 1.5441)
Elementary MathematicsAlgebra
- A5.3070
- B5.3700
- C5.5635
- D5.6535
Explanation
A = (sqrt(3)/4)x49. log10(A^4) = 4(2log7 + (log3)/2 - 2log2). From log10(1050) = 3.0212 and log10(35) = 1.5441, log3 = 0.4771 and the unknown log2 cancels, giving 4x1.32675 = 5.3070.