Exponential and Logarithmic Functions Test Review

What is the sum of the first seven geometric series?

16,383

What is the solution to log5(x+30)=3?

A. -95

How does the value of log2^100 compare with the value of log6^20?

A. Value of log2^100 is about 4 times the value of log6^20.

Which geometric series converges?

B

For what value of n does (1/36)^n=216?

B. - 3/2

What is the domain of y = log4(x+3)?

B. All real numbers greater than -3.

How many times louder is Braylee's music than Jessica's?

B. Braylee's music is 3 times louder than Jessica's.

Which of the following is true about the base b of a logarithmic function?

B. b > 0 and b =/ 1

The magnitude, M, of an earthquake is defined to be M=log I/S, where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a "standard" earthquake, which is barely detectable. What is the magnitude of an earthquake that is 35 times more intense than a standard earthquake?

C. 1.5

What is the value of log625^5?

C. 1/4

Which of the following shows the extraneous solution to the logarithmic equation below? log3(18x^3)-log3(2x)=log3(144)

C. x = -4

What is the solution of log2(3x-7)=3?

C. x = 5

What is the true solution to the logarithmic equation below? log2(6x)-log2(/x)=2

C. x =4/9

Which expression is equivalent to log12 x^4...

D

What is the approximate value of log6 25?

D. 1.796

The loudness, L, is measured in decibels (Db), of a sound intensity, I, measured in watts per square...

D. 110 Db

If you are given the graph of h(x)=log6x how could you graph m(x)=log6(x+3)?

D. Translate each point of the graph of h(x) 3 units left.

The range of which function is (2, infinity)?

D. y=5^x+2

If the equation below is solved by graphing, which statement is true? log(6x+10)=log1/2x

The curves intersect at approximately x = 0.46

If 1/64=4^2s-1 times 16^2s+2 what is the value of s?

s = -1