Logarithms Exam

Select the equivalent logarithmic form.

b^a=102

• log₁₀₂ (a) = b

• log₁₀₂ (b) = a

• log_b (102) = a

• log_a (102) = b

Evaluate log₂ (32)

• 16

• -1/3

• 5

• 1/5

Evaluate log₅ (63)

• 3.125

• 2.574

• 2.964

• 1.638

Evaluate log₅ (1.2)

• -0.031

• -0.216

• 0.113

• 0.257

Expand: log √x

• y log(x)

• x log(y)

• 6 log(x)

• 1/2 log(x)

Expand log₂ (u⁶v)⁵

• 30 log₂ (u) + 5 log₂ (v)

• 6 log₂ (u) + 5 log₂ (v)

• 30 log₂ (u) - 5 log₂ (v)

• log₂ (w) + 1/3 log₂ (u) +1/3 log₂ (v)

Condense: 6 log 3 - 24 log 7

• log (3⁶/7²⁴)

• log (7²⁴ 3⁶)

• log (2 ∛21)

• log (∛42)

Condense: log₂ x + log₂ y + 6 log₂ z

• log₂ (∛zyx)

• log₂ (z⁶ ∛x)

• log₂ (y³ x⁶)

• log₂ (yxz⁶)

Solve: 6^2-3x = 216

• -13/9

• -1/3

• 2

• 6

Solve: 5^p-1=13

• 1.6397

• 2.7715

• 1.1461

• 2.6391