Answer:
[tex]log_{7} \frac{7}{x^{2} }[/tex]
Step-by-step explanation:
We need to write [tex]1 - 2log_{7}x[/tex] as a single logarithm.
We know that
[tex]log_{7}7 = 1[/tex]
Therefore we have:
[tex]log_{7}7 - 2log_{7}x[/tex]
→ [tex]log_{7}7 - log_{7}x^{2}[/tex]
→ [tex]log_{7} \frac{7}{x^{2} }[/tex]
The solution is: [tex]log_{7} \frac{7}{x^{2} }[/tex]