How to solve ${\mathrm{ln}(x+1)}^{2}=2$ ?

Irvin Dukes
2021-12-10
Answered

How to solve ${\mathrm{ln}(x+1)}^{2}=2$ ?

You can still ask an expert for help

Natalie Yamamoto

Answered 2021-12-11
Author has **22** answers

Louis Page

Answered 2021-12-12
Author has **34** answers

asked 2022-01-21

Product of logarithms, prove this identity.

for a>1and b>1?

asked 2022-04-01

Solving an equation with a logarithm in the exponent

I try to solve the following equation:

${(N+1)}^{{\mathrm{log}}_{N}125}=216$

I know the answer is 5 here but how could I rewrite the equations so I can solve it?

I tried to take the log of both sides but that didn't help me because I got stuck. Could anyone please explain me how to do this?

Thanks!

I try to solve the following equation:

I know the answer is 5 here but how could I rewrite the equations so I can solve it?

I tried to take the log of both sides but that didn't help me because I got stuck. Could anyone please explain me how to do this?

Thanks!

asked 2021-11-06

Use the Laws of Logarithms to expand the expression.

${\mathrm{log}}_{3}\left(x\sqrt{y}\right)$

asked 2022-03-21

Solve the equation ${e}^{-2x+1}=13$

asked 2022-04-28

Proof of a closed form of ${\int}_{0}^{1}{(-\mathrm{ln}x)}^{n}dx$

asked 2022-04-12

Find intersection of linear and logarithmic lines

I have equations for two lines, one of which is linear and the other is logarithmic, ie:

$y={m}_{1}x+{c}_{1}$

$y={m}_{2}\cdot \mathrm{ln}\left(x\right)+{c}_{2}$

..and I need to find out where (if at all) these lines intersect. I realise that I need to solve:

$m}_{1}\cdot x+{c}_{1}={m}_{2}\cdot \mathrm{ln}\left(x\right)+{c}_{2$

..for x, but apart from shuffling the constants around I'm not sure how to do this

Is there a general solution to this problem?

Thanks

I have equations for two lines, one of which is linear and the other is logarithmic, ie:

..and I need to find out where (if at all) these lines intersect. I realise that I need to solve:

..for x, but apart from shuffling the constants around I'm not sure how to do this

Is there a general solution to this problem?

Thanks

asked 2022-04-23

How does this simplify to $\mathrm{log}\sqrt{x}$

How does$\mathrm{log}x-\mathrm{log}\sqrt{3}x-\mathrm{log}\sqrt{6}x$ simplify to $\mathrm{log}\sqrt{x}$

I've tried to get Bagatrix Algebra Solved! to solve it, but it even got the wrong answer... (I checked it by replacing x with 5 and typing it out on a calculator..)

No matter what I do, I end up with an answer that is correct and a bit simplified, but not as simplified as$\mathrm{log}\sqrt{x}$

How does

I've tried to get Bagatrix Algebra Solved! to solve it, but it even got the wrong answer... (I checked it by replacing x with 5 and typing it out on a calculator..)

No matter what I do, I end up with an answer that is correct and a bit simplified, but not as simplified as