Exponential Log Form

Change to exponential form.

log_a2 = 5

• a² = 5

• 5² = a

• a⁵ = 2

• 2⁵ = a

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Write 3 = 7^x in log form.

• log₇ 3 = x

• log₃ 7 = x

• log₇ x = 3

• log₃ x = 7

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Rewrite in exponential form

log₁₃169=2

• 2¹³ = 169

• 13² = 169

• 169² = 13

• 13¹⁶⁹ = 2

Rewrite in exponential form

log_nm= -2

• n^-2 = m

• m^-2 = n

• -2ⁿ = m

• mⁿ = -2

Rewrite in logarithmic form

14² = 196

• log₁₄ 196 = 2

• log₂ 14 = 196

• log₂ 196 = 14

• log₁₄ 14 = 2

Write 10⁴= 10000 in logarithmic form.

• log 4 = 10000

• log₁₀₀₀₀ 4 = 10

• log 10000 = 4

• log₄ 10000 = 10

Rewrite as a log: y = 7^x

• log₇(x) = y

• log_y(7) = x

• log_x(y) = 7

• log₇(y) = x