Comparte esto 👍👍DESCARGACAPITULO XXXVIII LogaritmosEjercicio 302Hallar el número de términos de las progresiones: ÷ ÷ 3 :6:………:48 Sea: u=48 a=3 r=2 n = logu–loga logr +1 n = log48–log3 log2 +1 n = 1.681241237–0.4771212547 0.3010299957 +1 n =4+1 n =5 ÷ ÷ 2 :3:………: 243 16 Sea: u= 243 16 a=2 r= 3 2 n= logu–loga logr +1 n= log 243 16 –log2 log 3 2 +1 n= log243–log16–log2 log3–log2 +1 n= 2.385606274–1.204119983–0.3010299957 0.4771212547–1.204119983 +1 n=5+1 n=6 ÷ ÷ 4 :8:………:512 Sea: u=512 a=4 r=2 n = logu–loga logr +1 n = log512–log4 log2 +1 n = 2.709269961–0.6020599913 0.3010299957 +1 n =7+1 n =8 ÷ ÷ 6 :8:………: 2048 81 Sea: u= 2048 81 a=6 r= 4 3 n= logu–loga logr +1 n= log( 2048 81 ) –log6 log( 4 3 ) +1 n= log2048–log81–log6 log4–log3 +1 n= 3.311329952–1.908485019–0.7781512504 0.6020599913–0.4771212547 +1 n=5+1 n=6 ÷ ÷ 2 :5:………: 625 8 Sea: u= 625 8 a=2 r= 5 2 n= logu–loga logr +1 n= log( 625 8 ) –log2 log( 5 2 ) +1 n= log625–log8–log2 log5–log2 +1 n= 2.795880017–0.903089987–0.3010299957 0.6989700043–0.3010299957 +1 n=4+1 n=5 Categories: Capítulo XXXVIII