Algebra 2B - Unit Two: Exponential and Logarithmic Functions, Part 2

What is the value of log^17 2?

0.24

What is the value of log^5 75?

2.68

Solve the equation for x. 8^7x-5 = 8^4x-3 x = ?

2/3

Solve the equation for x. 16^3x = 64

x = 1/2

Solve the equation for x. 4 * 2^x = 32 Which answer shows the correct steps for solving the equation?

x = 3

Use logarithms to solve the equation for x. 100^4x = 1,000 x = ?

3/8

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

4

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

4

Which expression is equivalent to log^4x^5

5 log^4 x

Solve the equation for x. 5^x/2 = 65

5.187

Lesson Eight

How to Solve Exponential Equations with Technology

Solve the equation for x. 2^4x = 6

XXX x = log^2 3/2

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

x = 5

solve 9^4x = 243 for x. Which answer shows the correct steps?

x = 5/8

Solve the equation for x. e^2x = 4

x = In 4/2

Solve the equation for x. 10^3x = 12

x = log 12/3

Which expression is equivalent to log^2 6^x

x log^2 6

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

3

Solve the equation for x. 9^2x = 27 x = ?

3/4

Lesson Six

Exponential Equations

Checkpoint Six

Properties of Logarithms

Lesson Seven

Properties of Logarithms

Match each logarithm with its equivalent expression.

log^7 y^10 : 10 log^7 y In7^10 : 10 In 7 log7^4 : 4 log 7

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

x = -1/2

Solve the equation for x. 5^-2x-9 = 5^4x+15

x = -4

Which expression is equivalent to log^3 24^2

2 log^3 24

Solve the equation for x. 128 = 2^3x-5 Which answer shows the correct steps for solving the equation?

4 = x

Checkpoint Six

Exponential Functions

if 4^3x = 37.9, what is the value of x?

x ≈ 0.874