Evaluate to four significant digits
log x = 5.3027
if these are logs base ten
10^log x = x = 10^5.3027
= 10^5 * 10^.3027
= 10^5 * 2.007705
or
2.008 * 10^5
Find x to four significant digits
To evaluate the value of x from the equation log x = 5.3027 to four significant digits, we need to take the antilogarithm of both sides of the equation.
The antilogarithm (also known as the inverse logarithm or exponentiation) is the process of finding the base value that has a logarithm equal to a given number. In this case, our base is 10 because it's the common logarithm.
To find the value of x, we raise the base (10) to the power of the logarithm (5.3027):
x = 10^(5.3027)
Using a calculator, we can directly evaluate the above expression:
x ≈ 199526.₂ (rounded to four significant digits)
Therefore, the value of x, to four significant digits, is approximately 199526.