Inverse Functions and Logs

Change to Logarithmic Form:
5^3 = 125

• log _5 125 = 3

• log_{ 3} 125 = 5

• log _5 3 =125

• log_125 3 = 5

Change to Logarithmic Form:

12^2 = 144

• log ₂ 144 = 12

• log ₁₂ 144 = 2

• log _12 2 = 144

• log _2 12 = 144

Change to Exponential Form:
log_289 17 = 1/2

• 289^1/2 = 17

• 17^1/2 = 289

• 289^17 = 1/2

• 1/2^17 = 289

log_3 81 = 4

• 81^3 = 4

• 81^4 = 3

• 34 = 81

• 4^3 =81

Evaluate log (3100)

• 3100

• 8.039

• 3.491

• 31.00

Evaluate ln (94)

• 4.543

• 0.94

• 1.973

• 6

Evaluate ln (3100)

• 3100

• 8.039

• 3.491

• 31.00

Evaluate log (94)

• 4.543

• 0.94

• 1.973

• 6

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)

• (-4, -1) and (-6, -4)

• (-1, -4) and (-4, -6)

• (4, 1) and (6, 4)