Using logarithm table and rule solve

Question

4√0.000083

Answer 1

To solve this problem using logarithms, we can rewrite the expression as:

4√0.000083 = (0.000083)^(1/4)

Now, take the logarithm of both sides of the equation to simplify the calculation. Let's use the natural logarithm (ln) for this calculation:

ln((0.000083)^(1/4)) = ln(0.000083) * (1/4)
= ln(0.000083) * 0.25

Now, let's look up the logarithm of 0.000083 in a logarithm table. The log(0.000083) is approximately -4.08.

Therefore, the final solution is:
ln(0.000083) * 0.25 = -4.08 * 0.25 = -1.02

So, 4√0.000083 is approximately equal to e^-1.02.