problem 1)4e^2x+10=18problem 2)27^n+1=(⅓)^4n-1problem 3)The population of a town

valentina krasniqi

valentina krasniqi

Answered question

2022-04-30

problem 1)4e^2x+10=18

problem 2)27^n+1=(⅓)^4n-1

problem 3)The population of a town is increasing at a rate of 4.5% per year. The city council believes it
will have to add another school when the population reaches 150,000 people. Currently, there are
50,000 people living in this town. How long will it be before they need to build this school to the
nearest tenth of a year? Solve algebraically using logarithms. 

PLEASE HELP MEE PLEASEE

Answer & Explanation

karton

karton

Expert2022-07-07Added 613 answers

1) 4e2x+10=18

Move all terms not containing xx to the right side of the equation.

4e2x=8

Divide each term in 4e2x=8 by 4 and simplify.

e2x=2

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

ln(e2x)=ln(2)

Expand the left side.

2x=ln(2)

Divide each term in 2x=ln(2) by 2 and simplify.

x=ln(2)2

The result can be shown in multiple forms.

Exact Form:

x=ln(2)2

Decimal Form:

x=0.34657359...

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