examples on log rulesexample

Question

Examples on Log rules:

Example:     Calculate (1/3)log₁₀  2.

Solution: log_b n√A = log_b A^1/n = (1/n)log_b A

(1/3)log₁₀ 2

= log₁₀ ³√2

= log₁₀ 1.259

= 0.1003

Example:     Calculate log₁₀ 1.

Solution:

Rule 6. log_b 1 = 0

log₁₀  1 = 0

Example:     Calculate -log₁₀ 2.

Solution:

Rule 7: log_b  (1/A) = -log_bA

-log₁₀  2

= log₁₀  (1/2)

= -log₁₀  0.5

= -0.3010