Converting Between Exponential & Logarithmic Forms

Rewrite in exponential form:

log₁₁121 = 2

• 11² = 121

• 2¹¹ = 121

• 121² = 11

• 11¹²¹ = 2

• 121¹¹ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form:

log₉81 = 2

• 9² = 81

• 2⁹ = 81

• 81² = 9

• 9⁸¹ = 2

• 81⁹ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form:

log₇49 = 2

• 7² = 49

• 2⁷ = 49

• 49² = 7

• 7⁴⁹ = 2

• 49⁷ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form:

log₂₁₆6 = ¹/₃

• 6^(1/3) = 216

• 216^(1/3) = 6

• 6²¹⁶ = (1/3)

• (1/3)²¹⁶ = 6

• (1/3)⁶ = 216

Tags

CCSS.HSF.BF.B.5

Rewrite in logarithmic form:

81^(1/2) = 9

• log₈₁9 = 1/2

• log₉81 = 1/2

• log_1/29 = 81

• log_1/281 = 9

• log₈₁(1/2) = 9

Tags

CCSS.HSF.BF.B.5

Rewrite in logarithmic form:

16² = 256

• log₁₆256 = 2

• log₁₆2 = 256

• log₂256 = 16

• log₂16 = 256

• log₂₅₆2 = 16

Tags

CCSS.HSF.BF.B.5

Rewrite in logarithmic form:

7² = 49

• log₇49 = 2

• log₇2 = 49

• log₂49 = 7

• log₂7 = 49

• log₄₉7 = 2

Tags

CCSS.HSF.BF.B.5

Rewrite in logarithmic form:

12² = 144

• log₁₂144 = 2

• log₂144 = 12

• log₁₄₄12 = 2

• log₁₄₄2 = 12

• log₁₂2 = 144

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form:

log_x191 = y

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form:

log₅n = -2

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.5