simplify 12^{log_{12}(1)}

{ "query": { "display": "simplify $$12^{\\log_{12}\\left(1\\right)}$$", "symbolab_question": "SIMPLIFY#simplify 12^{\\log_{12}(1)}" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "1", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$12^{\\log_{12}\\left(1\\right)}=1$$", "input": "12^{\\log_{12}\\left(1\\right)}", "steps": [ { "type": "step", "primary": "Apply log rule: $$a^{\\log_a\\left(b\\right)}=b$$", "secondary": [ "$$12^{\\log_{12}\\left(1\\right)}=1$$" ], "result": "=1", "meta": { "practiceLink": "/practice/logarithms-practice", "practiceTopic": "Expand FOIL" } } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }