WorksheetsLogarithmic and Exponential Functions
Total questions: 15
Worksheet time: 8mins
Evaluate log_2(8).
4
6
3
2
Convert the logarithmic expression log_10(100) to exponential form.
10^0 = 1
10^2 = 100
10^3 = 1000
10^1 = 10
If log_b(27) = 3, what is the value of b?
4
9
6
3
Evaluate log_5(25).
3
2
1
4
Convert the expression 3^x = 81 to logarithmic form.
log_3(3) = x
log_3(81) = x
log_3(27) = x
log_3(9) = x
If log_3(x) = 4, what is the value of x?
100
27
81
64
Evaluate log_10(0.01).
-1
1
-2
0
Convert log_4(16) to exponential form.
16^1 = 16
2^4 = 16
4^3 = 64
4^2 = 16
Analyze the growth model: A(t) = A_0 * e^(kt). What does k represent?
k represents the time variable.
k represents the initial amount.
k represents the decay rate constant.
k represents the growth rate constant.
Evaluate log_7(49) + log_7(7).
2
5
4
3
If a population grows according to the model P(t) = P_0 * e^(rt), what does r represent?
r represents the initial population size.
r represents the intrinsic growth rate of the population.
r represents the carrying capacity of the population.
r represents the time variable in the model.
Convert the expression log_2(32) to exponential form.
2^5 = 32
2^6 = 64
3^5 = 243
2^4 = 16
Evaluate log_10(1000) - log_10(10).
5
2
1
3
If log_x(64) = 6, what is the value of x?
2
16
4
8
Analyze the decay model: N(t) = N_0 * e^(-kt). What does k represent?
k represents the growth rate.
k represents the time variable.
k represents the decay constant.
k represents the initial quantity.
