If the value of log₁₀3 is 0.4771. Then the value of the log₁₀0.0003 will be negative 3.5229.
What is a logarithm?
Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.
The logarithm is given below.
log₁₀3 ≅ 0.4771
Then the value of log₁₀0.0003 will be
This can be written as
log₁₀0.0003 = log₁₀ (3 x 10⁻⁴)
We know the property of the logarithm, then we have
log₁₀ (ab) = log₁₀ a + log₁₀ b
log₁₀ aⁿ = n log₁₀ a
log₁₀ 10 = 1
Then we have
log₁₀ (3 x 10⁻⁴) = log₁₀ 3 + log₁₀ 10⁻⁴
log₁₀ (3 x 10⁻⁴) = 0.4771 - 4 log₁₀ 10
log₁₀ (3 x 10⁻⁴) = 0.4771 - 4 x 1
log₁₀ (3 x 10⁻⁴) = 0.4771 - 4
log₁₀ (3 x 10⁻⁴) = -3.5229
More about the logarithm link is given below.
https://brainly.com/question/7302008
#SPJ2
