$$( \frac { 1 } { 49 } ) ^ { n } \times ( 343 ) ^ { - 1 } = 7$$
$n=-2$
$$\frac{1}{343}\times \left(\frac{1}{49}\right)^{n}=7$$
$$\left(\frac{1}{49}\right)^{n}=2401$$
$$\log(\left(\frac{1}{49}\right)^{n})=\log(2401)$$
$$n\log(\frac{1}{49})=\log(2401)$$
$$n=\frac{\log(2401)}{\log(\frac{1}{49})}$$
$$n=\log_{\frac{1}{49}}\left(2401\right)$$
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