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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.
eIn(5x + 2)

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erturkmemmedli

Answer:

5x + 2

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]e^{\ln(5x + 2)}=e^{\log_e(5x+2)}=5x+2[/tex]

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