Chapter 6 Quiz Review - Exponential and Logarithmic Equations

Log-a-rhythms

2

Solve for x.

log₂8 = x

x = 3

4

Solve for x.

log₃81 = x

x = 4

6

Solve for x.

log₅(1/125) = x

x = -3

8

Solve for x.

log₄₉7 = x

x = 1/2

10

Solve for x.

log 100 = x

x = 2

Expo-no-you-di'nt

2

Solve for x.

3^2x-7 = 3⁵

x = 6

4

Solve for x.

2^x+4 = 8^x

x = 1/2

6

***DOUBLE JEOPARDY!!!***

Solve for x.

(1/5)^3x = 25^-x-6

x = 12

8

Describe the transformations of the parent function f(x) = 3^x.

f(x) = -3^x-4 + 5

REFLECTION over the x-axis

RIGHT 4 units

UP 5 units

10

Describe the transformations of the parent function f(x) = (1/4)^x.

f(x) = 5 ^. (1/4)^x+6 - 2

VERTICAL STRETCH by 5

LEFT 6 units

DOWN 2 units

Saaaaaaaaame

2

Solve for x.

7^x+3 = 7⁵

x = 2

4

Solve for x.

100 = 10^5x

x = 2/5

6

Solve for x.

8 = (1/2)^x

x = -3

8

***TRIPLE JEOPARDY!!!***

Solve for x.

9^{4x-3 .} 9^2x+5 = 81

x = 0

10

Solve for x.

16^x-1 = 32^x-2

x = 6

Can you rewrite that?

2

Rewrite in LOGARITHMIC form.

7³ = 343

log₇343 = 3

4

Rewrite in EXPONENTIAL form.

log₆216 = 3

6³ = 216

6

Rewrite in LOGARITHMIC form.

9^-3 = 1/729

log₉(1/729) = -3

8

Rewrite in LOGARITHMIC form.

(1/4)^-3 = 64

log_(1/4)64 = -3

10

Rewrite in EXPONENTIAL form.

log 100000 = 5

10⁵ = 100000

Let's log-in

2

What is the base of a log that doesn't have one written?

Ex. log 25 has what base?

Base is 10

4

Solve for x.

log₁₁14641 = x

x = 4

6

Solve for x.

log_(1/2)32 = x

x = -5

8

Solve for x.

log₇1 = x

x = 0

10

***DOUBLE JEOPARDY!!!***

Solve for x.

log 0 = x

No solution!!!