Expand and Condense Logs

Expand

• 6log₈v-2log₈u
• 6log₈u-2log₈v
• 3log₈u-2log₈v
• 6log₈u+2log₈v

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand

• log₈x+log₈y+log₈z
• 5log₈x+5log₈y+5log₈z
• log₈xy+5log₈z
• log₈x+log₈y+5log₈z

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Condense

• 4log₃x-4log₃y
• log₃(x⁴/y⁴)
• log₃(x⁴y⁴)
• log₃(x⁴) - log₃(y⁴)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Condense

• log₈(a¹⁸/b³)
• log₈(a¹⁸b³)
• log₈(a/b³)
• 15log₈(a/b³)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Expand log x √(y)

• log x + 1/2 log y
• 1/2 log x + 1/2 log y
• log x - 1/2 log y
• log x + 2 log y

Write 2 log x  - log y as a single logarithm

• log x²  y
• log x²  y²
• log x²/y
• log (x / y)²

Expand ln xy²z³

• 6(lnx + lny - lnz)
• lnx + 2lny - 3lnz
• lnx + (1/2)lny + (1/3)lnz
• lnx + 2lny + 3lnz

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

log₂(x + 5) = 3

• 3
• 4
• 5
• 6

Tags

CCSS.HSF.BF.B.5

Solve for x:
4^x- 5 = 12

• 0.489
• 2.552
• 0.893
• 2.044

Tags

CCSS.HSF.LE.A.4

Evaluate log_b(b^x)

• 1
• 0
• x
• b