Quiz — 206.._Magazine 16_4Sc_19-20 (Logarithme).pdf

Question 1 sur 10 20:00

[{"id":23744,"question":"Quelle est la valeur de log(100) si log(10) = 1 ?","option_a":"0","option_b":"1","option_c":"2","option_d":"10","option_e":"","option_f":"","bonne_reponse":"c","explication":"log(100) = log(10^2) = 2·log(10) = 2·1 = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"0\", \"b\": \"1\", \"c\": \"2\", \"d\": \"10\"}}","_debug_options_count":4},{"id":23745,"question":"L'équation log(x) = -1 admet-elle une solution ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"log(x) = -1 ⇒ x = 10^(-1) = 0,1, donc la solution existe.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":23746,"question":"Quelle propriété est correcte pour log(ab) ?","option_a":"log(a) + log(b)","option_b":"log(a) - log(b)","option_c":"log(a)·log(b)","option_d":"log(a)\/log(b)","option_e":"","option_f":"","bonne_reponse":"a","explication":"log(ab) = log(a) + log(b) est la propriété du produit.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"log(a) + log(b)\", \"b\": \"log(a) - log(b)\", \"c\": \"log(a)·log(b)\", ","_debug_options_count":4},{"id":23747,"question":"Si log(x) = 3, alors x est égal à :","option_a":"3","option_b":"1000","option_c":"e^3","option_d":"10^3","option_e":"","option_f":"","bonne_reponse":"d","explication":"log(x) = 3 ⇒ x = 10^3 = 1000.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"d\", \"options\": {\"a\": \"3\", \"b\": \"1000\", \"c\": \"e^3\", \"d\": \"10^3\"}}","_debug_options_count":4},{"id":23748,"question":"La fonction logarithme est-elle définie pour x ≤ 0 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le logarithme n'est défini que pour x \u003E 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":23749,"question":"Quelle est la dérivée de f(x) = ln(x) ?","option_a":"1\/x","option_b":"x","option_c":"e^x","option_d":"1","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée de ln(x) est 1\/x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"1\/x\", \"b\": \"x\", \"c\": \"e^x\", \"d\": \"1\"}}","_debug_options_count":4},{"id":23750,"question":"Si log(2) ≈ 0,3010, alors log(8) est approximativement :","option_a":"0,6020","option_b":"0,9030","option_c":"1,2040","option_d":"1,5050","option_e":"","option_f":"","bonne_reponse":"b","explication":"log(8) = log(2^3) = 3·log(2) ≈ 3·0,3010 = 0,9030.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"0,6020\", \"b\": \"0,9030\", \"c\": \"1,2040\", \"d\": \"1,5050\"}}","_debug_options_count":4},{"id":23751,"question":"L'inéquation log(x) \u003E 2 a pour solution x \u003E 100.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"log(x) \u003E 2 ⇒ x \u003E 10^2 = 100, donc la solution est correcte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":23752,"question":"Quelle est la valeur de log(1) ?","option_a":"0","option_b":"1","option_c":"-1","option_d":"e","option_e":"","option_f":"","bonne_reponse":"a","explication":"log(1) = 0 car 10^0 = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"0\", \"b\": \"1\", \"c\": \"-1\", \"d\": \"e\"}}","_debug_options_count":4},{"id":23753,"question":"Si log(x) + log(y) = log(100), alors x·y est égal à :","option_a":"1","option_b":"10","option_c":"100","option_d":"1000","option_e":"","option_f":"","bonne_reponse":"c","explication":"log(x) + log(y) = log(xy) = log(100) ⇒ xy = 100.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"1\", \"b\": \"10\", \"c\": \"100\", \"d\": \"1000\"}}","_debug_options_count":4}]