The required logarithmic equation is [tex]log_82=1/3[/tex]
The exponential function [tex]8^{1/3}=2[/tex] is given to transform it into a logarithmic function.
It is the relationship between variables contains equal sign.
Here, [tex]8^{1/3}=2[/tex]
Taking [tex]log_8[/tex] both sides.
[tex]log_88^{1/3}=log_82\\1/3log_88=log_82\\1/3=log_82\\log_82=1/3[/tex]
Thus, the required logarithmic equation is [tex]log_82=1/3[/tex]
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