Exponential and Logarithmic Functions

What is the solution to the equation: $3^x=\left(\frac{1}{9}\right)^{\left(2x-10\right)}$  

Select all the transformations that apply.

y = -2 log _1/2 x

• Vertical stretch by 2

• Vertical shrink by 1/2

• Reflection across the y-axis

• Reflection across the x-axis

Evaluate log₅  20 to the third decimal place

• 0.537
• 2.996
• 1.301
• 1.861

Evaluate the expression.
log₇7^-0.89

• 7
• 7^-0.89
• -0.89
• 1

Solve: 9^8-x = 27^x-3

• 5
• -5
• 1/5
• -1/5

What is the equation that represents the exponential function in the image below?

• y=3(½)^x
• y=3(2)^x
• y=(2)^x
• y=2(3)^x

A logarithmic function is the inverse of an exponential function.

• True

• False

Evaluate log₄1

• 1
• 0
• 4
• undefined

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

• log₂(x/y⁵)
• log₂(xy⁵)
• log₂(x/y)⁵
• log₂(x/5y)

Match the graph with its equation

• y = log₆(-x) + 1
• y = log₆(x − 2) + 1
• y = log₆(x + 2) - 1
• y = log(x-8) + 1