Logs

Exp to Log

100

Convert 3² = 9 to log form

log₃ 9 = 2

200

Convert 10⁴ = 10,000 to log form

log₁₀ 10,000 = 4

300

Convert 9^(3/2) = 27 to log form

log₉ 27 = 3/2

400

Convert 3^-4 = 1/81 to log form

log₃ 1/81 = -4

500

Convert 25^(-5/2) = 1/3,125 to log form

log₂₅ 1/3,125 = -5/2

Log to Exp

100

Convert log₂ 8 = 3 to exponential form

2³ = 8

200

Convert log₅ 15,625 = 6

5⁶ = 15,625

300

Convert log₇ 1/2,401 = -4

7^-4 = 1/2,401

400

Convert log_1,000 100 = 2/3 to exponential form

1,000^(2/3) = 100

500

Convert log_(1/2) 1/16 = 4 to exponential form

(1/2)⁴ = 1/16

Log Equations

100

Solve log₂ x = 6

x = 64

200

Solve log₁₀ x = 0

x = 1

300

Solve log₇ x = -2

x = 1/49 or 0.0204

400

Solve log₈ x = 5/3

x = 32

500

Solve log₁₆ x = -5/2

x = 1/1,024 or 0.0000977

Log Equations (x as base)

100

Solve log_x 216 = 3

x = 6

200

Solve log_x 1,000,000 = 6

x = 10

300

Solve log_x (1/64) = -6

x = 2

400

Solve log_x 49 = 2/3

x = 343

500

Solve log_x (1/128) = -7/3

x = 8