Given the equation V_m= u(ln m_0-ln m_8)- g t_f I need to solve for m_0 Here is what I have but it looks messy and I feel like there is sometihng wrong or a better way

Haiphongum

Haiphongum

Answered question

2022-09-18

Homework help to rearrange formula
Given the equation
V m = u ( ln m 0 ln m 8 ) g t f
I need to solve for m 0 Here is what I have but it looks messy and I feel like there is sometihng wrong or a better way
1st attempt
V m = u ( ln m 0 ln m 8 ) g t f V m = u ( ln m 0 ) u ( ln m 8 ) g t f V m = u ( ln m 0 ) u ( ln m 8 ) g t f V m = u ( ln m 0 ) u ( ln m 8 ) g t f u ( ln m 0 ) u ( ln m 8 ) g t f V m = 0 u ( ln m 0 ) u ( ln m 8 ) V m = g t f u ( ln m 0 ) = g t f + u ( ln m 8 ) + V m ln m 0 = ( g t f + u ( ln m 8 ) + V m ) ÷ u e ( g t f + u ( ln m 8 ) + V m ) ÷ u = m 0
2nd attempt - think this looks a little better but still not there yet
V m = u ( ln m 0 m 8 ) g t f V m + g t f = u ( ln m 0 m 8 ) V m + g t f u = ln m 0 m 8 e V m + g t f u = m 0 m 8 m 8 e V m + g t f u = m 0

Answer & Explanation

anekesanxl

anekesanxl

Beginner2022-09-19Added 12 answers

Hint:
ln ( a ) ln ( b ) = ln ( a b )

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?