algebra 2b - unit 2: exponential and logarithmic functions, part 2

what is the value of log_17 2?

0.24

what is the value of log_27 165?

1.549

which expression is equivalent to log_3 24^2?

2 log_3 24

what is the value of log_6 49?

2.17

what is the value of log_5 75?

2.68

8^7x-5 = 8^4x-3

2/3

if 7^6x-11 = 7^2x+1, what is the value of x?

3

9^2x = 27

3/4

100^4x = 1000

3/8

solve for x. 3^5x+7 = 3^7x-1

4

solve for x. 5^2x-5 = 125

4

which expression is equivalent to log_4 x^5?

5 log_4 x

lesson 6

exponential equations

lesson 8

how to solve exponential equations with technology

which expressions are equivalent to log_9 14?

ln 14/ln 9 log 14/log 9

match each logarithm with its equivalent expression.

log_7 y^10 : 10 log_7 y ln 7^10 = 10 ln 7 log 7^4 : 4 log 7

lesson 7

properties of logarithms

solve for x. 4^3x = 4^x-1

x = -1/2

5^-2x-9 = 5^4x+15

x = -4

16^3x = 64

x = 1/2

solve the equation for x. 4 * 2^x = 32

x = 3

128 = 2^3x-5

x = 4

solve for x. 64 = 2^2x-4

x = 5

solve 9^4x = 243 for x.

x = 5/8

e^2x = 4

x = ln 4 / 2

8 * e^x-1 = 56

x = ln 7 + 1

10^3x = 12

x = log 12 / 3

2^4x = 6

x = log_2 6 / 4

which expression is equivalent to log_2 6^x?

x log_2 6