Logarithms

Solve for x.
3^x = 27

• 2
• 4
• 3
• 5

Write the exponential equation as a logarithm
6³=216

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

Rewrite 3⁴ = 81 in logarithmic form.

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

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Tags

CCSS.HSF.BF.B.5

Solve 3³ = 3^{4x + 2}

• x = ¼
• x = -¼
• x = ½
• x = -½

Tags

CCSS.8.EE.A.1

CCSS.8.EE.C.7

To solve 36 = 6^x, re-write 36 as what base and exponent?

• 3⁶
• 6³
• 6²
• 3¹²

Tags

CCSS.6.EE.A.1

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

• 8
• 4
• 2
• Cannot be determined

Tags

CCSS.8.EE.A.1

2^-m = 2^3m-3

• 4/3
• 3/4
• 2
• 1

Tags

CCSS.8.EE.A.1

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Solve for x:
log_x 25 = 2

• 5
• -5
• 1/5
• -1/5