Honors Math 4 Logs and Exponentials Unit 4

Solve for n:
2³ⁿ = 4

• 2
• 3
• 2/3
• 4

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Write log_b(x/y) as two logs

• log_bx-log_by
• log_bx+log_by
• log_bx*log_by
• log_bx/log_by

Solve the following for 'x';
log₆(3x - 2) = log₆(5x - 8)

• x = 3
• x = 2
• x = -1
• No Solution

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

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

Solve for x:  log₆x + log₆(x-5) = 2

• √7
• 9
• 4
• none of these

Evaluate log₅  20 to the third decimal place

• 0.537
• 2.996
• 1.301
• 1.861

e^ln(f)

• f
• e
• e^f
• undefined

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216
• log₃(6) = 216
• log₆(216)=3
• log₂₁₆(6)=3

Solve for x.
e^x+6 + 5 = 1

• -4.614
• -4.236
• No Solution
• -0.334