simplify 12log_{12}(144)

{ "query": { "display": "simplify $$12\\log_{12}\\left(144\\right)$$", "symbolab_question": "SIMPLIFY#simplify 12\\log_{12}(144)" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "24", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$12\\log_{12}\\left(144\\right)=24$$", "input": "12\\log_{12}\\left(144\\right)", "steps": [ { "type": "step", "primary": "Factor the number: $$144=12^{2}$$", "result": "=12\\log_{12}\\left(12^{2}\\right)" }, { "type": "step", "primary": "Apply log rule: $$\\log_a\\left(a^b\\right)=b$$", "secondary": [ "$$\\log_{12}\\left(12^{2}\\right)=2$$" ], "result": "=12\\cdot\\:2", "meta": { "practiceLink": "/practice/logarithms-practice", "practiceTopic": "Expand FOIL" } }, { "type": "step", "primary": "Multiply the numbers: $$12\\cdot\\:2=24$$", "result": "=24" } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }