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  • 14-01-2020
  • Mathematics
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Applying Inverse Properties In Exercise,apply the inverse properties of logarithmic and exponential functions to simplify the expression.See example 2.
- 1 + In e2x

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erturkmemmedli
erturkmemmedli erturkmemmedli
  • 15-01-2020

Answer:

2x - 1

Step-by-step explanation:

Since logarithm has the following property:

If [tex]f(x)=b^x[/tex] and [tex]g(x)=\log_bx[/tex],

Then [tex]fog=b^{\log_bx}=x[/tex] and [tex]gof=\log_bbx=x[/tex]

Therefore,

[tex]- 1 + \ln e^{2x} = - 1 + \log_e e^{2x} = 2x-1[/tex]

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