Answered

IDNLearn.com makes it easy to find accurate answers to your specific questions. Ask anything and receive immediate, well-informed answers from our dedicated community of experts.

Steps on how to solve 50=40e^0.027x

Sagot :

[tex]40{ e }^{ 0.027x }=50\\ \\ \frac { 40{ e }^{ 0.027x } }{ 40 } =\frac { 50 }{ 40 } \\ \\ \\ { e }^{ 0.027x }=\frac { 5 }{ 4 }[/tex]

[tex]\\ \\ \ln { \left( \frac { 5 }{ 4 } \right) } =0.027x\\ \\ \ln { 5 } -\ln { 4 } =\frac { 27 }{ 1000 } x[/tex]

[tex]\\ \\ \ln { 5 } -\ln { \left( { 2 }^{ 2 } \right) } =\frac { 27 }{ 1000 } x[/tex]

[tex]\\ \\ \ln { 5 } -2\ln { 2 } =\frac { 27 }{ 1000 } x\\ \\ \frac { 1000 }{ 27 } \left( \ln { 5-2\ln { 2 } } \right) =\frac { 27 }{ 1000 } x\cdot \frac { 1000 }{ 27 }[/tex]

[tex]\\ \\ x=\frac { 1000 }{ 27 } \left( \ln { 5 } -2\ln { 2 } \right) [/tex]
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.