Logarithmic Functions by Daniel Goutor https://padlet.com/danielgoutor/t45k9tg7p3n7iwhu Key points about log functions en-us 2021-11-09 19:27:35 UTC 2023-02-10 00:14:08 UTC hello@padlet.com https://padlet.net/icons/png/1f4a1.png Log conversion: danielgoutor https://padlet.com/danielgoutor/t45k9tg7p3n7iwhu/wish/1879304908 a^b = c  =  loga^c = b

Example:
2^3 = 8   =   log2^8 = 3]]> 2021-11-09 19:33:35 UTC https://padlet.com/danielgoutor/t45k9tg7p3n7iwhu/wish/1879304908 f(x)= logx danielgoutor https://padlet.com/danielgoutor/t45k9tg7p3n7iwhu/wish/1879327462 2021-11-09 19:42:49 UTC https://padlet.com/danielgoutor/t45k9tg7p3n7iwhu/wish/1879327462 f(x)=-logx danielgoutor https://padlet.com/danielgoutor/t45k9tg7p3n7iwhu/wish/1879328477 2021-11-09 19:43:11 UTC https://padlet.com/danielgoutor/t45k9tg7p3n7iwhu/wish/1879328477 f(x)=log(-x) danielgoutor https://padlet.com/danielgoutor/t45k9tg7p3n7iwhu/wish/1879330827 2021-11-09 19:44:15 UTC https://padlet.com/danielgoutor/t45k9tg7p3n7iwhu/wish/1879330827 Logarithmic vs exponential function. danielgoutor https://padlet.com/danielgoutor/t45k9tg7p3n7iwhu/wish/1879338698 They are the inverse of each other.]]> 2021-11-09 19:47:52 UTC https://padlet.com/danielgoutor/t45k9tg7p3n7iwhu/wish/1879338698 -log(-x) danielgoutor https://padlet.com/danielgoutor/t45k9tg7p3n7iwhu/wish/1879343800 2021-11-09 19:49:37 UTC https://padlet.com/danielgoutor/t45k9tg7p3n7iwhu/wish/1879343800 Law #1: danielgoutor https://padlet.com/danielgoutor/t45k9tg7p3n7iwhu/wish/1879349904 loga^N  =  Nlog(a)

example:
log5(5)^7
= 7log5(5)
= 7(1)
=7]]> 2021-11-09 19:52:24 UTC https://padlet.com/danielgoutor/t45k9tg7p3n7iwhu/wish/1879349904 Law #2: danielgoutor https://padlet.com/danielgoutor/t45k9tg7p3n7iwhu/wish/1879354306 log(axb) = loga + logb

Example:
log2^16x8
= log2^16 + log2^8
= 4+3
= 7]]> 2021-11-09 19:54:28 UTC https://padlet.com/danielgoutor/t45k9tg7p3n7iwhu/wish/1879354306 Law #3: danielgoutor https://padlet.com/danielgoutor/t45k9tg7p3n7iwhu/wish/1879364678 log(a/b) = loga - logb

Example: 
log2^(4/2)
= log2^4 - log2^2
= 2 + 1
= 3]]> 2021-11-09 19:59:35 UTC https://padlet.com/danielgoutor/t45k9tg7p3n7iwhu/wish/1879364678 Base rule: danielgoutor https://padlet.com/danielgoutor/t45k9tg7p3n7iwhu/wish/1879382843 If a log is written without a base it is assumed that it is referring to natural log or log10

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