Question

Choose the correct option.
flo8103 = 0.4771, find the value of log10(0.27).
10g1010.23​

Answer 1

0.4771 answeryyikjzka

Answer 2

Given : log₁₀3 = 0.4771

To Find : log₁₀(0.27)

Solution:

log₁₀(0.27)

= log₁₀(27/100)

use log (a/b) = log a - logb

= log₁₀27 - log₁₀100

= log₁₀3³ - log₁₀10²

use log aⁿ = nloga

= 3 log₁₀3  - 2log₁₀10

log₁₀3 = 0.4771  given

logₐa = 1

= 3(0.4771) - 2(1)

= 1.4313 - 2

= -0.5687

log₁₀(0.27)   = -0.5687

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