2log108

2log108 refers to an expression involving logarithms. Specifically, it means two times the logarithm base 10 of the number 8. The logarithm base 10 of a number is the power to which 10 must be raised to get that number. For instance, log10(100) = 2 because 10^2 = 100.

The expression 2log108 can be simplified using properties of logarithms. One such property is the power rule, which states that n logb(x) = logb(x^n). Applying this to 2log108, we get log10(8^2).

Calculating 8^2, we find it to be 64. Therefore, 2log108 is equivalent to log10(64). The value of log10(64) is the power to which 10 must be raised to equal 64. This is an irrational number, approximately equal to 1.806.

The expression can also be interpreted as finding the logarithm base 10 of 8, which is approximately 0.903, and then multiplying that result by 2. This calculation yields the same approximate value of 1.806. The context in which 2log108 appears would determine the specific application or significance of this numerical value.