Rohan Mcpherson

2022-10-06

Calculating $\mathrm{ln}(1+\sqrt{3})$

I distributed the natural logarithm and got $(0+0.549)$ [placing the values in a calculator]. However, the answer key states that the answer is $1.0051$

Where did I go wrong?

I distributed the natural logarithm and got $(0+0.549)$ [placing the values in a calculator]. However, the answer key states that the answer is $1.0051$

Where did I go wrong?

oldgaffer1b

Beginner2022-10-07Added 9 answers

The logarithm is not linear. That is, typically $\mathrm{ln}(x+y)\ne \mathrm{ln}(x)+\mathrm{ln}(y)$

Janessa Benson

Beginner2022-10-08Added 1 answers

You are confusing your identities. You are most likely confusing the identity $\mathrm{ln}(ab)=\mathrm{ln}a+\mathrm{ln}b$. In general $\mathrm{ln}(a+b)\ne \mathrm{ln}a+\mathrm{ln}b$. Also, note that if you are using a calculator, you do not need to simplify the expression; you can punch $\mathrm{ln}(1+\sqrt{3})$ straight into your calculator (but don't forget the brackets!).

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

Which operation could we perform in order to find the number of milliseconds in a year??

$60\cdot 60\cdot 24\cdot 7\cdot 365$ $1000\cdot 60\cdot 60\cdot 24\cdot 365$ $24\cdot 60\cdot 100\cdot 7\cdot 52$ $1000\cdot 60\cdot 24\cdot 7\cdot 52?$ Tell about the meaning of Sxx and Sxy in simple linear regression,, especially the meaning of those formulas

Is the number 7356 divisible by 12? Also find the remainder.

A) No

B) 0

C) Yes

D) 6What is a positive integer?

Determine the value of k if the remainder is 3 given $({x}^{3}+k{x}^{2}+x+5)\xf7(x+2)$

Is $41$ a prime number?

What is the square root of $98$?

Is the sum of two prime numbers is always even?

149600000000 is equal to

A)$1.496\times {10}^{11}$

B)$1.496\times {10}^{10}$

C)$1.496\times {10}^{12}$

D)$1.496\times {10}^{8}$Find the value of$\mathrm{log}1$ to the base $3$ ?

What is the square root of 3 divided by 2 .

write $\sqrt[5]{{\left(7x\right)}^{4}}$ as an equivalent expression using a fractional exponent.

simplify $\sqrt{125n}$

What is the square root of $\frac{144}{169}$