Log Change Form

Write 5^x =10 in log form

• x = log 5

• x = log₅10

• x = 5 log10

• x = 10 log 5

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Write in logarithmic form:

a^b = c

• log _a c = b

• log _b c = a

• log _a b = c

• log _b a = c

Change to logarithmic form.

3^h = w

• log_w3 = h

• log₃w = h

• log_h3 = w

• log₃h = w

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

• 3¹² = x

• log_x 3 = 12

• log₃ x = 12

• log₃ 12 = x

Change to exponential form.

log_a2 = 5

• a² = 5

• 5² = a

• a⁵ = 2

• 2⁵ = a

Write 3 = 7^x in log form.

• log₇ 3 = x

• log₃ 7 = x

• log₇ x = 3

• log₃ x = 7

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Condense: log16 + log2 - log8

• log4

• log8

• log10

• log24

Re-Write the Logarithm Equation into Exponential Form
log_hw = d

• w = h^d

• w^d = h

• h = w^d

• h^w = d