Question

2401^(2n)=343^(n+2)

Answer 1

You have to use logarithms. In this case the answer is 6/5

Answer 2

how do you figure?

Answer 3

probably helps to know that \(2401=7^4\) and that \(343=7^3\)

Answer 4

so you have
\[7^{4\times 2n}=7^{3\times (n+2)}\] and therefore
\[8n=3n+6\]

Answer 5

solve for n and get
\[5n=6\]
\[n=\frac{6}{5}\]

Answer 6

no logarithms were harmed in this solution