Question

${3}^{2m - 1} = 2187$
find m in the above formula​

Answer 1

${3}^{2m - 1} = 2187 \\ \\ \\ {3}^{2m - 1} = {3}^{7} \\ \\ 3 \: \: gets \: \: cancelled \: from \: both \: sides \\ \\ \\ 2m - 1 = 7 \\ 2m = 8 \\ m = \frac{8}{2} = 4$

Answer 2

$heya \\ \\ \\ 2187 = 3 {}^{7} \\ \\ \\ 3 {}^{2m - 1} = 3 {}^{7} \\ \\ \\ \\ compare \: powers \: of \: 3 \: \\ \\ \\ 2m - 1 = 7 \\ \\ \\ 2m = 8 \\ \\ \\ = 4$