Solving Logarithmic & Exponential Equations Jeopardy

Identification

100

Identify the base.

log4

What is 4?

200

The Process when two bases are the same.

What is Cross out both bases?

300

Identify the Exponent.

2^{x + 7}

What is 2?

400

The Process when Exponents are the same.

What is Cross out both exponents?

500

True or False

The Base is the number that has the expression attached to it.

What is False?

Part I

100

Solve.

log3 (5x - 1) = log3 (x + 7)

What is x = 2?

200

Solve.

2^{x + 7} = 2⁴

What is x = -3?

300

Solve.

log5 (4x - 7) = log5 (x + 5)

What is x = 4?

400

Solve.

8^{3x + 3} = 8⁶

What is x = 1

500

Solve.

3^-x = 3^-4x

What is x = 0?

Part II

100

Solve.

log6 x = 2

What is x = 36?

200

Solve.

Log3 (2x - 1) = 4

What is x = 41?

300

Solve.

log3 x = 4

What is x = 81?

400

Solve.

log3 (9x + 2) = 4

What is x = 79/9?

500

Solve.

logx 16 = 4

What is x = 2?

Part III

100

Solve.

2^x = 14

What is x approx. 3.8?

200

Solve.

5^x = 134

What is x approx. 3?

300

Solve. 

16^b = 75

What is b approx. 1.5?

400

Solve.

6^-x = 36

What is x approx. -2?

500

Solve.

7^-x = 49

What is x approx. -2?