Use the properties of natural logarithms to simplify each fu

Use the properties of natural logarithms to simplify each function f(x) = ln (e^2x) + 3x 0 ln 1

Solution

Dear Student

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Given

f(x) = ln(e^(2x)) + 3x - ln1

= 2x + 2x - 0

Because as per log properties

lnx^m = mlnx

ln e = 1 & ln 1 = 0

=> Final answer is

f(x) = 5x

Thank you !!