Solving Logarithmic Equations

Solve log(x) + log(x+3) = 1

• 5
• -2
• -5
• 2

log₅(4x-7)=log₅(x+5)

• 3
• 12
• 4
• 7

Solve

• A
• B
• C
• D

• 5
• 13
• 84
• -20

log₂(x² - 6) = log₂(2x+2)

• 4, -2

• No Solution

• 4

• -2

2 * 4^{3x – 6} – 8 = 120

• x = 3
• x = 4
• x = 2.9
• x = 8

The range of the function y=log₂(x+1) is:

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Write the equation of the function f(x)=log(x+5)-6 after the following transformations:

Translate 3 units left and 2 units up.

• f(x)=log(x+2)+2

• f(x)=log(x+2)-4

• f(x)=log(x+8)-4

• f(x)=log(x+8)+2

What is the domain of the function y=log₂(x+1) ?

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)