Here we see the the graphs of four logarithmic functions. {{CMD_84}} {{ENV_85}} {{CMD_86}} Match the curves {{MATH_87}}, {{MATH_88}}, {{MATH_89}}, and {{MATH_90}} with the functions {{MATH_91}} {{CMD_92}} First remember what {{MATH_93}} means: {{MATH_94}} Moreover, {{MATH_95}} where {{MATH_96}}. So now examine each of these functions along the horizontal line {{MATH_97}} {{CMD_98}} {{ENV_99}} {{CMD_100}} Note again (this is from the definition of a logarithm) {{MATH_101}} Hence we see: {{CMD_102}} {{CMD_103}} {{MATH_104}} corresponds to {{MATH_105}}. {{CMD_106}} {{MATH_107}} corresponds to {{MATH_108}}. {{CMD_109}} {{MATH_110}} corresponds to {{MATH_111}}. {{CMD_112}} {{MATH_113}} corresponds to {{MATH_114}}. {{CMD_115}} {{CMD_116}} {{CMD_117}}