Logarithm practice (made especially for Elane :) )

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Expand the logarithm
log₁₀ 7x

• (log₁₀ 7)(log₁₀ x)
• log₁₀ 7 + log₁₀ x
• 7log₁₀ x
• xlog₁₀ 7

Condense

• A
• B
• C
• D

Expand

• A
• B
• C
• D

• 1.82
• 3.17
• 3.05
• 1.63

Write as one logarithm. Simplify, if possible.
log₃9 + log₃27

• -1
• 5
• 4
• 1

The natural logarithm has what base?

• 10
• 0
• e
• -e

Tags

CCSS.HSF.BF.B.5

Expand ln xy²z³

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

Solve for x:
5 e^6x+3 = 0.1

• -1.152
• 0.232
• -3.077
• -0.854

Tags

CCSS.HSF.LE.A.4