ANSWER
d.
[tex] \frac{1}{7} [/tex]
EXPLANATION
We want to simplify
[tex] {10}^{ log( \frac{1}{7} ) } [/tex]
Recall that the common logarithm has a base of 10.
This implies that,
[tex] {10}^{ log( \frac{1}{7} ) } = {10}^{ log_{10}( \frac{1}{7} ) } [/tex]
Recall again that:
[tex] {p}^{ log_{p}(q) } = q[/tex]
Therefore,
[tex] {10}^{ log( \frac{1}{7} ) } = {10}^{ log_{10}( \frac{1}{7} ) } = \frac{1}{7} [/tex]
