Title LCAT Math Practice Material 2025.pdf ✅

1. The value of log2 16 is: A) 1 8 B) 4 C) 8 D) 16 2. The value of log343 7 is: A) 1 3 B) -3 C) - 1 3 D) 3 3. The value of log10 (.0001) is: A) 1 4 B) - 1 4 C) - 4 D) 4 4. If log8 x = - 2, then x is equal to: A) – 64 B) – 4 C) – 1 64 D) 1 64 5. If logx 4 = 1 4 , then x is equal to: A) 16 B) 64 C) 128 D) 256 6. The value of log(-1/3) 81 is equal to: A) – 27 B) – 4 C) 4 D) 27 7. log √8 log 8 is equal to: A) 1 √8 B) 1 4 C) 1 2 D) 1 8 8. Which of the following statements is not correct? A) log10 10 = 1 B) log (2 + 3) = log (2 x 3) C) log 1 = 0 D) log (1 + 2 + 3) = log 1 + log 2 + log 3 9. The value of log2 (log5 625) is: A) 2 B) 5 C) 10 D) 15 10. If log2 [log3 (log2 x)] = 1, then x is equal to: A) 0 B) 12 C) 128 D) 512 11. The value of log2 log2 log3 log3 273 is: A) 0 B) 1 C) 2 D) 3 12. The value of ( 1 3 log10 125 − 2 log10 4 + log10 32) is: A) 40 B) 4 5 C) 1 D) 2 13. 2 log10 5 + log10 8 - 1 2 log10 4 = ? A) 2 B) 4 C) 2 + 2 log10 2 D) 4 – 4 log10 2 14. If log8 x + log8 1 6 = 1 3 , then the value of x is: A) 12 B) 16 C) 18 D) 24 15. If log10 125 + log10 8 = x, then x is equal to: A) 1 3 B) .064 C) – 3 D) 3 LOGARITHMS Page 1
1. 30 feet In the figure above, P is a point on the ground 30 feet from the base of a flagpole. The angle of elevation from point P to the top of the flagpole is 40o , and the tangent of 40o is approximately 0.84. Of the following, which is the closest to the height of the flagpole? A) 21 feet B) 23 feet C) 25 feet D) 27 feet 2. In the right triangle above, the tangent of ∠A is 4 3 . What is the sine of ∠B? A) 3 5 B) 3 4 C) 4 5 D) 5 3 3. For a triangle PQR, if ∠Q = 90o and sin R = 5 13 . What is the value of cos P x tan P? A) 5 12 B) 12 5 C) 5 13 D) 12 13 4. Which of the following is equivalent to tan(x 0 )? A) sin(90o−x o) cos(90o−x o) B) cos(90o−x o) sin(90o−x o) C) −tan(90o − x o ) D) sin(x o ) − cos(x o ) 5. Triangle ABC and DEF are shown above. Which of the following is equal to the ratio BC AB ? A) DE DF B) DF DE C) DF EF D) EF DE 6. If sin xo = a, which of the following must be true for all values of x? A) cos xo = a B) sin (90o – x o) = a C) cos (90o – x o) = a D) sin (x2) o = a2 TRIGONOMETRY Page 2