Answer :
The completion of the logarithm table is:
when x = 1/25, log₅[tex]\frac{1}{25}[/tex] = -2
How to solve the logarithm problem?
We are given the logarithm expression as:
log₅x
Thus,
When x = 1, we have:
log₅1
We know that 5⁰ = 1. Thus:
log₅5⁰
Using rules of logarithm , we have:
0log₅5 = 0 * 1 = 0
Thus, when x = 1/25, we have:
log₅[tex]\frac{1}{25}[/tex]
We know that 5⁻² = 1/25. Thus, we have:
log₅5⁻²
= -2log₅5
= -2