Which logarithmic equation is equivalent to 8^2=64

Answer:
[tex]2=log_{8}64[/tex]
Step-by-step explanation:
We are given a equation:
8²=64
We have to convert this into a logarithmic equation:
Taking log base 8 on both sides, we get
[tex]log_{8}8^{2}=log_{8}64[/tex]
[tex]2log_{8}8=log_{8}64[/tex] (since, [tex]log_{a}m^n=nlog_{a}m[/tex])
[tex]2=log_{8}64[/tex] (since,[tex]log_{a}a=1[/tex] )
Hence, option first is true