- #1
anonymous12
- 29
- 0
Homework Statement
Kepler's third law of planetary motion relates P, the period of a planet's orbit, to R, the planet's mean distance from the sun, through the equation [itex]log P = \frac{1}{2} (log K + 3log R)[/itex], where K is a constant.
Rewrite the formula as a single logarithm.
Homework Equations
[tex]log P = \frac{1}{2} (log K + 3log R)[/tex]
The Attempt at a Solution
Rewrite the formula as a single logarithm.
[tex]log P = \frac{1}{2} (log K + 3log R)[/tex]
[tex]log P = \frac{1}{2} (log(KR^3))[/tex]
[tex]log P = log K^\frac{1}{2} \cdot R^\frac{3}{2}[/tex]
I have no idea what to do next.
4. The answer in the back of the textbook
[tex]log(\frac{K^{\frac{1}{2}} \cdot R^{\frac{3}{2} }}P)=0[/tex]
Here I have no idea how they made the equation equal to 0. If anyone could help me I will be very grateful.