Value of log 8: A logarithm is the inverse operation of exponentiation. It helps us find the power to which a base must be raised to obtain a given number. In other words, if we have the equation:

b^x = y

Then, the logarithm base b of y is denoted as:

log_b(y) = x

Value of log 8 in Common Logarithm (log₁₀8)

Most common form of logarithm is the base-10 logarithm, often denoted as log₁₀​. Value of log 8 in common logarithm is calculated below:

Calculate log₁₀​(8) by finding the exponent to which 10 must be raised to obtain 8.

log₁₀​(8) = log₁₀​(8) = log₁₀​(2³) (since 8 = 2³)

log₁₀​(8) = 3⋅log₁₀​(2)

Using log tables or calculators, log₁₀(2) ≈ 0.301

Therefore,

log₁₀(8) ≈ 3⋅×0.301 = 0.903

So, the value of log 8 in the common logarithm (base 10) is approximately 0.903.

Value of log 8 in Natural Logarithm (ln)

Natural logarithm, denoted as ln, uses the base e, which is a mathematical constant approximately equal to 2.71828. To find the value of log 8 in the natural logarithm, we follow these steps:

• Recognize that ln represents the natural logarithm.
• Calculate ln(8) by finding the exponent to which e must be raised to obtain 8.
• ln(8) ≈ 2.079.

So, value of log 8 in natural logarithm is approximately 2.079.

Related Resources:

• Logarithm
• Value of Log e
• Value of Log 4
• Log Formulas: Derivation, Examples and FAQs