Final exam review - Day 3 - logarithms

Rewrite log₂8 = 3 in exponential form/

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Write in exponential form.
log₂(¹/₈) = -3

• 2^-3 = ¹/₈
• 2^1/8 = -3
• -3² = ¹/₈
• -3^1/8 = 2

Tags

CCSS.HSF.BF.B.5

Expand.

• 1/3 log x + log y + log z
• 1/3 log x + 1/3 log y + 1/3 log z
• 1/3 log x - 1/3 log y - 1/3 log z
• 3 log x + 3 log y + 3 log z

log₂(x + 2) + log₂x  = 3

• -4, 2
• -2, 4
• 2
• 1

Solve:
log₃ (x - 3) = 4

• x = 78
• x = 6
• x = 84
• x = x = 7

Solve:
10^{2 - 2b} = 60

• x = .1109
• x = -29
• x = 2.7782
• x = -.8817

Solve for x:
8^x+1= 3

• 0.528
• 0.893
• -0.472
• 1.893

Tags

CCSS.HSF.LE.A.4

Solve for x:  25^3x+2=125

• -1/6
• 0
• 1/6
• 5

Solve:
log₄x² - log₄(x-1) = 1

• 4
• 3
• 2
• 1

log₈(4x+4)=2

• 15

• 12

• 10

• 3