What is the logarithmic form of the equation?
回答 (6)
2020-10-20 6:29 am
3^x=14
=>
xlog(10)3=log(10)14
or
xlog(3)3=log(3)14
=>
x=log(3)14
=>
xlog(10)3=log(10)14
or
xlog(3)3=log(3)14
=>
x=log(3)14
2020-10-19 7:05 pm
take logs to base '10' on both sides
Hence
log(10)3^x = log(10)14
By the rules of logs , 'xx' can be moved to a coefficient.
xlog(10)3 = log(10)14
You can use base 'e' . shown as 'ln' on the calculator.
Hence
xln3 = ln14
NB DO NOT mix log bases. There is an equation to convert log bases.
Hence
log(10)3^x = log(10)14
By the rules of logs , 'xx' can be moved to a coefficient.
xlog(10)3 = log(10)14
You can use base 'e' . shown as 'ln' on the calculator.
Hence
xln3 = ln14
NB DO NOT mix log bases. There is an equation to convert log bases.
2020-10-19 3:31 pm
3^(x) = 14
Ln[3^(x)] = Ln(14)
x.Ln(3) = Ln(14)
x = Ln(14) / Ln(3)
x = Log[3](14)
Log[3](14) = x → where 3 is te base
Ln[3^(x)] = Ln(14)
x.Ln(3) = Ln(14)
x = Ln(14) / Ln(3)
x = Log[3](14)
Log[3](14) = x → where 3 is te base
2020-10-19 2:45 pm
Take the log of both sides
x log3 = log14
x = log14/log3
Remembering the logarithmic change of base rule
x = log₃ 14
x log3 = log14
x = log14/log3
Remembering the logarithmic change of base rule
x = log₃ 14
2020-10-19 2:35 pm
log_3 14 = x
If you commit to remembering
log_10 100 = 2 (or just log 100 = 2)
10² = 100
then you can swap between forms by comparing.
If you commit to remembering
log_10 100 = 2 (or just log 100 = 2)
10² = 100
then you can swap between forms by comparing.
收錄日期: 2021-04-23 23:08:18
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