use natural logarithms to solve the equation. round to the nearest thousandth. show work!! 5e^(2x+11) =30

The value of x from the given equation is

x=-4.604

Given :

To solve for x , we need to get exponent 'e' alone

First we divide both sides by 5

Now we write the given exponent in logarithmic form

Lets take ln on both sides

The value of ln(e) is 1

The value of x from the given equation is

x=-4.604

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x = -4.604

Step-by-step explanation:

Here, we want to get the value of x

We start by dividing through by 5

e^(2x + 11) = 30/5

e^(2x + 11) = 6

Writing this in natural logarithm form, we have;

ln 6 = 2x + 11

2x + 11 = 1.792

2x = 1.792-11

2x = -9.208

x = -9.208/2

x = -4.604

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step-by-step explanation: