SAT Subject Test Math Level 2 Practice Test: Exponential and Logarithmic Functions

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Question 10 questions

Time 12 minutes

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1. If xa· (xa+1)a· (xa)1-a = xk, then k =

A. 2a + 1
B. a + a2
C. 3a
D. 3a + 1
E. a3 + a

2. If log8 3 = x · log2 3, then x =

A.
B. 3
C. 4
D. log4 3
E. log8 9

3. If log10m = , then log10 10m2 =

A. 2
B. 2.5
C. 3
D. 10.25
E. 100

4. If logb5 = a, logb2.5 = c, and 5x= 2.5, then x =

A. ac
B.
C. a + c
D. c - a
E. The value of x cannot be determined from the information given.

5. If f (x) = log2x, then

A.
B. 1
C.
D.
E. 0

6. If ln (xy) < 0, which of the following must be true?

A. xy < 0
B. xy < 1
C. xy > 1
D. xy > 0
E. none of the above

7. log2 m = and log7 n = , mn =

A. 1
B. 2
C. 96
D. 98
E. 103

8. Log7 5 =

A. 1.2
B. 1.1
C. 0.9
D. 0.8
E. -0.7

9. =

A. 1.9
B. 2
C. 2.1
D. 2.3
E. 2.5

10. If $300 is invested at 3%, compounded continuously, how long (to the nearest year) will it take for the money to double? (If P is the amount invested, the formula for the amount, A, that is available after t years is A = Pe0.03t.)

A. 26
B. 25
C. 24
D. 23
E. 22