{
  localUrl: '../page/log_inverts_exp.html',
  arbitalUrl: 'https://arbital.com/p/log_inverts_exp',
  rawJsonUrl: '../raw/3wr.json',
  likeableId: '2569',
  likeableType: 'page',
  myLikeValue: '0',
  likeCount: '3',
  dislikeCount: '0',
  likeScore: '3',
  individualLikes: [
    'EricBruylant',
    'NateSoares',
    'EricRogstad'
  ],
  pageId: 'log_inverts_exp',
  edit: '3',
  editSummary: 'The single dot is clear as mud — putting brackets around it like with log() makes it more readable.',
  prevEdit: '2',
  currentEdit: '3',
  wasPublished: 'true',
  type: 'wiki',
  title: 'Logarithms invert exponentials',
  clickbait: '',
  textLength: '620',
  alias: 'log_inverts_exp',
  externalUrl: '',
  sortChildrenBy: 'likes',
  hasVote: 'false',
  voteType: '',
  votesAnonymous: 'false',
  editCreatorId: 'JoeZeng',
  editCreatedAt: '2016-07-04 21:14:19',
  pageCreatorId: 'NateSoares',
  pageCreatedAt: '2016-05-28 03:22:30',
  seeDomainId: '0',
  editDomainId: 'AlexeiAndreev',
  submitToDomainId: '0',
  isAutosave: 'false',
  isSnapshot: 'false',
  isLiveEdit: 'true',
  isMinorEdit: 'false',
  indirectTeacher: 'false',
  todoCount: '0',
  isEditorComment: 'false',
  isApprovedComment: 'true',
  isResolved: 'false',
  snapshotText: '',
  anchorContext: '',
  anchorText: '',
  anchorOffset: '0',
  mergedInto: '',
  isDeleted: 'false',
  viewCount: '39',
  text: 'The function [3nd $\\log_b(\\cdot)$] inverts the function $b^{(\\cdot)}.$ In other words, $\\log_b(n) = x$ implies that $b^x = n,$ so $\\log_b(b^x)=x$ and $b^{\\log_b(n)}=n.$ (For example, $\\log_2(2^3) = 3$ and $2^{\\log_2(8)} = 8.$) Thus, logarithms give us tools for analyzing anything that grows [4ts exponentially]. If a population of bacteria grows exponentially, then logarithms can be used to answer questions about how long it will take the population to reach a certain size. If your wealth is accumulating interest, logarithms can be used to ask how long it will take until you have a certain amount of wealth. (TODO)',
  metaText: '',
  isTextLoaded: 'true',
  isSubscribedToDiscussion: 'false',
  isSubscribedToUser: 'false',
  isSubscribedAsMaintainer: 'false',
  discussionSubscriberCount: '2',
  maintainerCount: '2',
  userSubscriberCount: '0',
  lastVisit: '',
  hasDraft: 'false',
  votes: [],
  voteSummary: 'null',
  muVoteSummary: '0',
  voteScaling: '0',
  currentUserVote: '-2',
  voteCount: '0',
  lockedVoteType: '',
  maxEditEver: '0',
  redLinkCount: '0',
  lockedBy: '',
  lockedUntil: '',
  nextPageId: '',
  prevPageId: '',
  usedAsMastery: 'false',
  proposalEditNum: '0',
  permissions: {
    edit: {
      has: 'false',
      reason: 'You don't have domain permission to edit this page'
    },
    proposeEdit: {
      has: 'true',
      reason: ''
    },
    delete: {
      has: 'false',
      reason: 'You don't have domain permission to delete this page'
    },
    comment: {
      has: 'false',
      reason: 'You can't comment in this domain because you are not a member'
    },
    proposeComment: {
      has: 'true',
      reason: ''
    }
  },
  summaries: {},
  creatorIds: [
    'NateSoares',
    'EricRogstad',
    'JoeZeng'
  ],
  childIds: [],
  parentIds: [
    'logarithm'
  ],
  commentIds: [],
  questionIds: [],
  tagIds: [
    'needs_clickbait_meta_tag',
    'stub_meta_tag'
  ],
  relatedIds: [],
  markIds: [],
  explanations: [],
  learnMore: [],
  requirements: [],
  subjects: [],
  lenses: [],
  lensParentId: '',
  pathPages: [],
  learnMoreTaughtMap: {},
  learnMoreCoveredMap: {},
  learnMoreRequiredMap: {},
  editHistory: {},
  domainSubmissions: {},
  answers: [],
  answerCount: '0',
  commentCount: '0',
  newCommentCount: '0',
  linkedMarkCount: '0',
  changeLogs: [
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '16927',
      pageId: 'log_inverts_exp',
      userId: 'EricBruylant',
      edit: '0',
      type: 'newTag',
      createdAt: '2016-07-16 20:30:14',
      auxPageId: 'needs_clickbait_meta_tag',
      oldSettingsValue: '',
      newSettingsValue: ''
    },
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '15327',
      pageId: 'log_inverts_exp',
      userId: 'JoeZeng',
      edit: '3',
      type: 'newEdit',
      createdAt: '2016-07-04 21:14:19',
      auxPageId: '',
      oldSettingsValue: '',
      newSettingsValue: 'The single dot is clear as mud — putting brackets around it like with log() makes it more readable.'
    },
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '11388',
      pageId: 'log_inverts_exp',
      userId: 'EricRogstad',
      edit: '2',
      type: 'newEdit',
      createdAt: '2016-05-28 18:34:23',
      auxPageId: '',
      oldSettingsValue: '',
      newSettingsValue: ''
    },
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '11341',
      pageId: 'log_inverts_exp',
      userId: 'NateSoares',
      edit: '1',
      type: 'newEdit',
      createdAt: '2016-05-28 03:22:30',
      auxPageId: '',
      oldSettingsValue: '',
      newSettingsValue: ''
    },
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '11337',
      pageId: 'log_inverts_exp',
      userId: 'NateSoares',
      edit: '1',
      type: 'newTag',
      createdAt: '2016-05-28 03:22:20',
      auxPageId: 'stub_meta_tag',
      oldSettingsValue: '',
      newSettingsValue: ''
    },
    {
      likeableId: '0',
      likeableType: 'changeLog',
      myLikeValue: '0',
      likeCount: '0',
      dislikeCount: '0',
      likeScore: '0',
      individualLikes: [],
      id: '11336',
      pageId: 'log_inverts_exp',
      userId: 'NateSoares',
      edit: '1',
      type: 'newParent',
      createdAt: '2016-05-28 03:22:18',
      auxPageId: 'logarithm',
      oldSettingsValue: '',
      newSettingsValue: ''
    }
  ],
  feedSubmissions: [],
  searchStrings: {},
  hasChildren: 'false',
  hasParents: 'true',
  redAliases: {},
  improvementTagIds: [],
  nonMetaTagIds: [],
  todos: [],
  slowDownMap: 'null',
  speedUpMap: 'null',
  arcPageIds: 'null',
  contentRequests: {}
}