Solve the logarithmic equation for x. log5(x + 3) − log5(x − 3) = 2?
回答 (2)
2016-01-26 5:19 pm
log5(x + 3) − log5(x − 3) = 2
(x+3)/(x-3)=5^2=25
x+3=25x-75
24x=78
x=78/24=13/4=3 1/4
3 1/4 + 3 > 0 yes
3 1/4 - 3 > 0 yes
x=13/4
(x+3)/(x-3)=5^2=25
x+3=25x-75
24x=78
x=78/24=13/4=3 1/4
3 1/4 + 3 > 0 yes
3 1/4 - 3 > 0 yes
x=13/4
2016-01-26 5:16 pm
log5(x + 3) − log5(x − 3) = 2
log5(x + 3)/(x − 3) = 2
(x+3)/(x-3) = 5^2
x+3 = 25(x-3)
x+3 = 25x - 75
25x-x = 3 +75
24x = 78
x = 78/24 = 39/12 = 13/4
log5(x + 3)/(x − 3) = 2
(x+3)/(x-3) = 5^2
x+3 = 25(x-3)
x+3 = 25x - 75
25x-x = 3 +75
24x = 78
x = 78/24 = 39/12 = 13/4
收錄日期: 2021-04-21 16:35:37
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https://hk.answers.yahoo.com/question/index?qid=20160126091034AAqxjlm