asellers1985 asellers1985
  • 04-06-2022
  • Mathematics
contestada

e^In(8) use the properties of natural logarithms to simplify the expression

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loneguy
loneguy loneguy
  • 04-06-2022

[tex]\text{Let,}\\\\~~~~~~~~~y = e^{\ln 8}\\\\\implies \ln y = \ln \left( e^{\ln 8} \right)\\\\\implies \ln y = \ln 8( \ln e)\\\\\implies \ln y = \ln 8\\\\\implies y = 8\\\\\implies e^{\ln 8} = 8\\\\\text{Hence,}~~ e^{\ln 8 } = 8[/tex]

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rvkacademic
rvkacademic rvkacademic
  • 04-06-2022

Answer:

8

Step-by-step explanation:

One of the properties of natural logs is that

[tex]e^{lnx} = x\\\\So,\\\\e^{ln8} = 8[/tex]

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