Congratulations, you've just reinvented a limited version of grep().

@filtered = grep { $_ ne $current_log } @original;
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If instead, you have an array index instead of a condition, use splice(). The next will delete the third item:

splice @array, 2, 1;
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This modifies the original array, instead of making a filtered copy. Well, you can always use an array slice:

@filtered = @original[grep { $_ != 2 } 0 .. $#original];
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The grep makes a complete list of all array items, from 0 to $#original, but without the 2.