Solve for $\displaystyle {x}$ in terms of $\displaystyle {k}$.


$\displaystyle {{\log}_{{{7}}}{x}}-{{\log}_{{{7}}}{\left({x}+{5}\right)}}={{\log}_{{{7}}}{k}}.$

$\displaystyle {x}=$ Preview Question 6 Part 1 of 2  
Find $\displaystyle {x}$ if $\displaystyle {k}=\frac{{1}}{{4}}$. Preview Question 6 Part 2 of 2