Solving equation with log_10

[Torben]

Hello

I trying to figure out how the equation below is solved - can anybody help me ?



Thanks in advance

Kind regards

Torben

 

[Deleted member 4993]

Hello

I trying to figure out how the equation below is solved - can anybody help me ?

View attachment 34127

Thanks in advance

Kind regards

Torben

there is a bit of simple algebra involved.

What is the expression for

[sin(phi) + 1] ..................................and​

[1- sin(phi)] ...............................and​

{sin(phi) + 1] / [1- sin(phi)]}?​

Now continue......

 

[blamocur]

Knowing that [imath]\log_{10}\frac{\omega_1}{\omega_3}=c[/imath] can you express [imath]\omega_3[/imath] in terms of [imath]\omega_1[/imath] and [imath]c[/imath]?

 

[Dr.Peterson]

Hello

I trying to figure out how the equation below is solved - can anybody help me ?

View attachment 34127

Thanks in advance

Kind regards

Torben

I would first express divide [imath]\displaystyle\frac{\sigma_1}{\sigma_3}[/imath] as a power of 10, and then the numerator and denominator of [imath]\displaystyle\frac{\sigma_1-\sigma_3}{\sigma_1+\sigma_3}[/imath] by [imath]\sigma_3[/imath]. The rest is easy.

If you don't find it easy, please expand on your question, "why?" by telling us what part(s) you have trouble with.