Topic 2b AP Precalculus AB Exponential and Logarithmic Graphs

Where is the asymptote?

• x = 1

• y = 1

• x = -1

• y = -1

Expand: log(3x)²

• 2log(3+x)

• 2log3+logx

• log3+2logx

• 2(log3+logx)

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)

• log₂(xy⁵)

• log₂(x/y)⁵

• log₂(x/5y)

Which is the correct way to rewrite,log₆(x-3)= 2, in order to solve.

• 6² = x-3

• 2⁶ = x - 3

• ln(2) = x-3

• e⁶ = x-3

The graph is shown, which statement best describes the transformations?

• Vertically shift up 3 and Vertically down 7

• Vertically shift down 3 and Horizontally right 7

• Horizontally shift right 3 and Vertically down 7

• Horizontally shift left 3 and Horizontally left 7

Use the graph of y = 4^x+2 + 1.

What are the transformations?

• Translated left 2 and up 1

• Translated right 1 and up 2

• Translated right 2 and down 1

• Stretched by 4 and translated down 2

Solve for n:

4⁵ⁿ = 16

• 5

• 3

• 2/5

• 4

Rewrite log_x95 = 2.3

• x^2.3 = 95

• 95^2.3 = x

• 2.3⁹⁵ = x

• x⁹⁵ = 2.3

Rewrite 1.6^(x+2) = 14.1

• log_1.614.1 = x+2

• log_1.6(x+2) = 14.1

• log_14.1(x+2) = 1.6

• log_(x+2)1.6 = 14.1