Solving Equations with Logs

The common logarithm has what base?

• 10
• 0
• e
• -e

Log with a base "e" (log_e) is the same thing as...

• "e"
• Natural Logarithm (LN)
• Common Logarithm (Log)
• Natural Log, base "e"
  LN_e

Solve for x:

log₅(4x-7)=log₅(x+5)

• 3

• 12

• 4

• 7

Solve for x:

log₄(3x-1)=log₄(2x+3)

• 4

• 3

• 1

• 8

Solve for x:

log₂(x+3)=4

• 16

• 13

• 3

• 10

Solve for x:

log₈(4x+4)=2

• 15

• 12

• 10

• 3

Solve for x:

log_x1000=3

• 1

• 10

• 30

• 3

Solve for x:
log₄ x = 3

• 4
• 12
• 32
• 64

Solve for x:

log₅ (x + 3) = log₅ x + log₅ 3

• 3/2

• 9/2

• 2/3

• No Solution

Using a calculator, solve for x:

2.8^x = 41

• 0.277

• 3.607

• -0.282

• 3.684