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							<td class="lines-code"><pre><code class=""><ol class="linenums"><li class="L1" rel="L1">\begin{frage}[2]%% Anzahl Punkte für diese Aufgabe
</li><li class="L2" rel="L2">
</li><li class="L3" rel="L3">  Berechnen Sie $x$ in Abhängigkeit von $a$ und $b$:
</li><li class="L4" rel="L4">
</li><li class="L5" rel="L5">  $$\sqrt[x]{a} = b$$
</li><li class="L6" rel="L6">
</li><li class="L7" rel="L7">  $x= \LoesungsRaumLang{\frac{\log(a)}{\log(b)} = \frac{\ln(a)}{\ln(b)} = \log_b(a)}$
</li><li class="L8" rel="L8">  
</li><li class="L9" rel="L9">  \platzFuerBerechnungen{8.4}%%
</li><li class="L10" rel="L10">\TRAINER{0.5 P. für $a^{\frac{1}{x}} = b$, 0.5 P. auch für $a=b^x$. 1.5 Punkte für $\frac{1}{x} \cdot{} \log(a) = \log(b)$}%%%%
</li><li class="L11" rel="L11">\end{frage}</li></ol></code></pre></td>
						
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2025/09/20 14:17:20 [I] [SQL] SELECT `id`, `lower_name`, `name`, `full_name`, `email`, `keep_email_private`, `passwd`, `must_change_password`, `login_type`, `login_source`, `login_name`, `type`, `location`, `website`, `rands`, `salt`, `language`, `created_unix`, `updated_unix`, `last_login_unix`, `last_repo_visibility`, `max_repo_creation`, `is_active`, `is_admin`, `allow_git_hook`, `allow_import_local`, `allow_create_organization`, `prohibit_login`, `avatar`, `avatar_email`, `use_custom_avatar`, `num_followers`, `num_following`, `num_stars`, `num_repos`, `description`, `num_teams`, `num_members`, `diff_view_style` FROM `user` WHERE `lower_name`=? LIMIT 1 []interface {}{"phi"}
2025/09/20 14:17:20 [I] [SQL] SELECT `id`, `owner_id`, `lower_name`, `name`, `description`, `website`, `default_branch`, `num_watches`, `num_stars`, `num_forks`, `num_issues`, `num_closed_issues`, `num_pulls`, `num_closed_pulls`, `num_milestones`, `num_closed_milestones`, `is_private`, `is_bare`, `is_mirror`, `is_fork`, `fork_id`, `size`, `is_fsck_enabled`, `topics`, `created_unix`, `updated_unix` FROM `repository` WHERE `owner_id`=? AND `lower_name`=? LIMIT 1 []interface {}{1, "pruefungen"}
2025/09/20 14:17:20 [I] [SQL] SELECT `id`, `repo_id`, `type`, `config`, `created_unix` FROM `repo_unit` WHERE (repo_id = ?) []interface {}{4}
2025/09/20 14:17:20 [I] [SQL] SELECT count(*) FROM `release` WHERE repo_id=? AND is_draft=? []interface {}{4, false}
2025/09/20 14:17:20 [I] [SQL] SELECT `id`, `lower_name`, `name`, `full_name`, `email`, `keep_email_private`, `passwd`, `must_change_password`, `login_type`, `login_source`, `login_name`, `type`, `location`, `website`, `rands`, `salt`, `language`, `created_unix`, `updated_unix`, `last_login_unix`, `last_repo_visibility`, `max_repo_creation`, `is_active`, `is_admin`, `allow_git_hook`, `allow_import_local`, `allow_create_organization`, `prohibit_login`, `avatar`, `avatar_email`, `use_custom_avatar`, `num_followers`, `num_following`, `num_stars`, `num_repos`, `description`, `num_teams`, `num_members`, `diff_view_style` FROM `user` WHERE `lower_name`=? LIMIT 1 []interface {}{"phi"}
2025/09/20 14:17:20 [I] [SQL] SELECT `id`, `owner_id`, `lower_name`, `name`, `description`, `website`, `default_branch`, `num_watches`, `num_stars`, `num_forks`, `num_issues`, `num_closed_issues`, `num_pulls`, `num_closed_pulls`, `num_milestones`, `num_closed_milestones`, `is_private`, `is_bare`, `is_mirror`, `is_fork`, `fork_id`, `size`, `is_fsck_enabled`, `topics`, `created_unix`, `updated_unix` FROM `repository` WHERE `owner_id`=? AND `lower_name`=? LIMIT 1 []interface {}{1, "pruefungen"}
2025/09/20 14:17:20 [I] [SQL] SELECT `id`, `repo_id`, `type`, `config`, `created_unix` FROM `repo_unit` WHERE (repo_id = ?) []interface {}{4}
