logarithm

In  exponential form, the  first log  can  be expressed   as

6^2  =  4x

36  = 4x

36/4  = x   = 9

log ₉  243  = m   ...in exponential  form is  :

9^m  = 243      rewrite  as

(3^2)^m  = 3^5

3^2m  = 3⁵    the bases are the same....equate exponents

2m  = 5

m  = 5 / 2    =  log ₉ 243