Question

If log₁₀2 = 0.3010 and log₁₀3=0.4771, then find the value of log₁₀₀(0.72).

Answer 1

Answer:

-1.106

Step-by-step explanation:

log₁₀₀(0.72) = log₁₀₀(72/100) = log₁₀₀72  - 1 =

log₁₀72/2 - 1 = 1/2 (log₁₀2³ + log₁₀3²) - 1 = 1/2 (3log₁₀2 + 2log₁₀3) - 1 =

1/2 ( 0.9030 - 0.9542 ) - 1 = -0.106 - 1 = -1.106  

Answer 2

Please see the attachment