<p>Sounds like homework (correct me if that assumption is wrong, as you may want a somewhat different answer then.), so here is a <strong>hint:</strong></p>

<p>Clean up the equation first, to something that looks more like an equation for mass:</p>

<p>$$\frac{L}{L_{sun}} = \left(\frac{M}{M_{sun}}\right)^{3.5}$$</p>

<p>$$\left(\frac{L}{L_{sun}}\right)^{\frac{1}{3.5}} = \frac{M}{M_{sun}}$$</p>

CC BY-SA 3.0
2016-04-11T04:48:49.373Z
2016-04-11T04:48:49.373Z
SE - stop firing the good guys
<p>Estimate the mass of the star given this formula:</p>

<p>$$\frac{L}{L_\mathrm{\odot}} = \left(\frac{M}{M_\mathrm{\odot}}\right)^{3.5}$$</p>

<p>Given $L= 2.752\times10^{28}\,\mathrm{W}$, how do I find the mass of the star?</p>

<p>Thanks for any help.</p>

CC BY-SA 3.0
2016-04-11T10:57:16.207Z
I guess $L_\mathrm{sun}$  and $M_\mathrm{sun}$ are values for our sun? If so all you need is a simple rearrangeing of the given formula
RononDex
CC BY-SA 3.0
2017-01-04T16:05:28.153Z
I'm voting to close this question as off-topic because this is more or less an algebra question, not an astronomy one.
Sir Cumference
<fundamental-astronomy><luminosity>
Finding Mass of Star with only Luminosity
mathenator2015
# Finding Mass of Star with only Luminosity

(Asked by: username_0 on 2016-04-11)

Estimate the mass of the star given this formula:

$$\frac{L}{L\_\mathrm{\odot}} = \left(\frac{M}{M\_\mathrm{\odot}}\right)^{3.5}$$

Given $L= 2.752\times10^{28}\,\mathrm{W}$, how do I find the mass of the star?

Thanks for any help.

**Tags:** fundamental-astronomy, luminosity
> **Comments:**
> **username_1**: I guess $L_\mathrm{sun}$  and $M_\mathrm{sun}$ are values for our sun? If so all you need is a simple rearrangeing of the given formula  
> **username_2**: I'm voting to close this question as off-topic because this is more or less an algebra question, not an astronomy one.  

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## 1 answers

### Answer by username_3 on 2016-04-11. Score: 2 | Accepted answer

Sounds like homework (correct me if that assumption is wrong, as you may want a somewhat different answer then.), so here is a **hint:**

Clean up the equation first, to something that looks more like an equation for mass:

$$\frac{L}{L\_{sun}} = \left(\frac{M}{M\_{sun}}\right)^{3.5}$$

$$\left(\frac{L}{L\_{sun}}\right)^{\frac{1}{3.5}} = \frac{M}{M\_{sun}}$$


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