Question

O logaritmo de 144 na base 2√3 é igual a : 

Answer 1

Log  144  = x
      2V3

    ( V2².3)^x = 144

          ( V12)^x = 12²

                12^x/2 = 12²

                   x = 2 ==> x = 2.2  ==> x = 4
                   2

Answer 2

$log _{ 2\sqrt{3} }144 \\ \\ ( 2\sqrt{3})^{x}=144 \\ \\ ( 2\sqrt{3})^{x}= 2^{4}. 3^{2} \\ \\ ( 2\sqrt{3})^{x}=( 2\sqrt{3})^{4} \\ \\ x=4$