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find ln(12) rounded to the nearest tenth. if necessary, include a leading 0 with any decimals less than 1. for example, 0.5 instead of .5.

User Jzhinga
by
7.5k points

1 Answer

5 votes

ln(1/2) rounded to the nearest tenth is roughly negative zero point seven, or -0.69.

Let's find
\(ln((1)/(2))\) rounded to the nearest tenth.

We can find the value of the expression using a calculator or by using the following steps:

1. Use the logarithm rule:
$\ln(a^b)=
b\ln(a)$.

2. Simplify the expression:
$\ln((1)/(2)) =
\ln(2^(-1)) =
-1\ln(2)$.

3. Calculate the value of
$\ln(2)$ using a calculator.

4. Round the answer to the nearest tenth.

Steps to solve:

1. Apply the logarithm rule:


$$\ln((1)/(2)) = \ln(2^(-1))$$

2. Simplify the expression:


$$=-1\ln(2)$$

3. Calculate the value of ln(2) using a calculator:


$$\ln(2) \approx 0.69314718056$$

4. Round the answer to the nearest tenth:


$$-1\ln(2) \approx -0.69$$

Answer:


$$\ln((1)/(2)) \approx -0.69$$

Question:

find ln(12) rounded to the nearest tenth. if necessary, include a leading 0 with any-example-1
User Dean Elbaz
by
7.8k points

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