Converting Between Exponents and Logs

Write in logarithmic form:

a^b = c

• log _a c = b

• log _b c = a

• log _a b = c

• log _b a = c

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CCSS.HSF.BF.B.5

Change to logarithmic form.

3^h = w

• log_w3 = h

• log₃w = h

• log_h3 = w

• log₃h = w

Tags

CCSS.HSF.BF.B.5

Convert 3^x = 12 to the equivalent log form.

• 3¹² = x

• log_x 3 = 12

• log₃ x = 12

• log₃ 12 = x

Tags

CCSS.HSF.BF.B.5

Change to exponential form.

log_a2 = 5

• a² = 5

• 5² = a

• a⁵ = 2

• 2⁵ = a

Tags

CCSS.HSF.BF.B.5

Rewrite each logarithmic equation as an exponential equation and vise versa

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.5

Rewrite each logarithmic equation as an exponential equation and vise versa

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.5

14² = 196

• log₁₄ 196 = 2

• log₂ 14 = 196

• log₂ 196 = 14

• log₁₄ 14 = 2

Tags

CCSS.HSF.BF.B.5

log₁₃169=2

• 2¹³ = 169

• 13² = 169

• 169² = 13

• 13¹⁶⁹ = 2

Tags

CCSS.HSF.BF.B.5

Change the logarithm to an exponent.

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.5

Write 6^x = 8 in log form.

• log₆ 8 = x

• log₈ 6 = x

• log₆ x = 8

• log₈ x = 6

Tags

CCSS.HSF.BF.B.5