Rewriting Logs and Exponents

Write 6^x = 8 in log form.

• log₆ 8 = x

• log₈ 6 = x

• log₆ x = 8

• log₈ x = 6

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CCSS.HSF.BF.B.5

Write log5 = x in exponential form

• 10^x = 5

• 5^x = 1

• 1^x = 5

• 10⁵ = x

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CCSS.HSF.BF.B.5

Write 10 = 5^x in log form

• x = log 5

• x = log₅10

• x = 5 log10

• x = 10 log 5

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in exponential form:
log₉ 1/81 = -2

• ln -2 = 1/81
• -2^1/81 = 9
• 9^-2 = 1/81
• 9^1/81 = -2

Tags

CCSS.HSF.BF.B.5

Rewrite log₃t = 5 in exponential form.

• 5^t=3
• log₃5 = log₃t
• t⁵=3
• 3⁵=t

Tags

CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log_289 17 = 1/2

• 289^1/2 = 17
• 17^1/2 = 289
• 289^17 = 1/2
• 1/2^17 = 289

Tags

CCSS.HSF.BF.B.5

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log₃ 81 = 4

• 81³ = 4
• 81⁴ = 3
• 3⁴ = 81
• 4³ =81

Tags

CCSS.HSF.BF.B.5

Write in exponential form:
log ₃₆ 1 = 0

• 36⁰ = 1
• 36¹ = 0
• 1³⁶ = 0
• 1⁰ = 36

Tags

CCSS.HSF.BF.B.5