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3 years ago

6

What is the solution of in(x-2)^2=6

1 answer:

Novosadov [1.4K]3 years ago

7 0

Answer:

22.09

Step-by-step explanation:

Given the expression ln(x-2)^2=6

Take exponent of both sides

e^ln(x-2)^2=e^6

(x-2)² = e^6

(x-2)² = 403.43

x - 2 = √403.43

x - 2= 20.09

x = 20.09 + 2

x = 22.09

Hence the value of x is 22.09

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A truck rental is $30 plus $.30 /mi. Find out how many miles Ken traveled if his bill was $55.20 .

tangare [24]

Hello and Good Morning/Afternoon:

<u>Let's take this problem step-by-step</u>:

<u>Let's consider the information given</u>:

rental price: $30 + $0.30/mile
total bill for Ken: $55.20

<u>Let's setup an equation for the cost</u>

set 'x' as number of miles traveled

$\hookrightarrow Cost = 30 + 0.3x$

set that equal to the total cost or bill and solve

$30 + 0.3x = 55.2\\0.3x = 25.2\\x=84$

Ken must have traveled 84 miles

<u>Answer: 84 miles</u>

<u></u>

Hope that helps!

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