Logarithm Basics

Solve for x
log₈(x) = 2

• x = 256

• x = 64

• x = 16

• x = 32

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆

log_525 = ?

• 2

• 5

• 125

Separate; write as multiple logs: log (m^2q^4^^ / 3)

• log m^2 + log q^4 - log 3

• 2 log m + 4 log q - log 3

• 2 log m * 4 log q / log 3

• log m * log 2 + log q * log 4 - log 3

Separate; write as multiple logs: log (2x^3)

• log 2 + 3 log x

• 3 log 2x

• log 2* 3 log x

• 2 log x^3

Evaluate log_41

• 1

• 0

• 4

• undefined

Rewrite as a single log: 4 log g - 2 log h

• log (4g/2h)

• log (g^4/h^2)

• log (g^4 - h^2)

• log (2gh)

Write as a single log: log 12 + 2 log x

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x^2)

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• v^n = a

• a^n = v

Rewrite 3^4 = 81 in logarithmic form.

• log_34 = 81

• log_813 = 4

• log_381 = 4

• log__481 = 3