Answer:
![$\boxed{\log _2\left(\frac{zx^2}{y^2} \right) +\log _9(y^4 x^{12})} $](https://tex.z-dn.net/?f=%24%5Cboxed%7B%5Clog%20_2%5Cleft%28%5Cfrac%7Bzx%5E2%7D%7By%5E2%7D%20%5Cright%29%20%2B%5Clog%20_9%28y%5E4%20x%5E%7B12%7D%29%7D%20%24)
Step-by-step explanation:
![\log _2z+2\log _2x+4\log _9y+12\log _9x-2\log _2y](https://tex.z-dn.net/?f=%5Clog%20_2z%2B2%5Clog%20_2x%2B4%5Clog%20_9y%2B12%5Clog%20_9x-2%5Clog%20_2y)
We have logarithms in base 2 and 9. Let's rewrite it:
![\log _2z+2\log _2x-2\log _2y+4\log _9y+12\log _9x](https://tex.z-dn.net/?f=%5Clog%20_2z%2B2%5Clog%20_2x-2%5Clog%20_2y%2B4%5Clog%20_9y%2B12%5Clog%20_9x)
<u>Remember that:</u>
![\boxed{p\log _bc=\log _b c^p}](https://tex.z-dn.net/?f=%5Cboxed%7Bp%5Clog%20_bc%3D%5Clog%20_b%20c%5Ep%7D)
![\log _2z+\log _2 x^2 -\log _2y^2 +\log _9y^4+\log _9x^{12}](https://tex.z-dn.net/?f=%5Clog%20_2z%2B%5Clog%20_2%20x%5E2%20-%5Clog%20_2y%5E2%20%2B%5Clog%20_9y%5E4%2B%5Clog%20_9x%5E%7B12%7D)
<u>Remember the Product Rule:</u>
![\boxed{\log_b(xy)=\log_bx + \log_by}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Clog_b%28xy%29%3D%5Clog_bx%20%2B%20%5Clog_by%7D)
![\log _2(zx^2) -\log _2y^2 +\log _9(y^4 x^{12})](https://tex.z-dn.net/?f=%5Clog%20_2%28zx%5E2%29%20-%5Clog%20_2y%5E2%20%2B%5Clog%20_9%28y%5E4%20x%5E%7B12%7D%29)
<u>Finally, remember the Quotient Rule:</u>
![$\boxed{\log_b\left(\frac{x}{y} \right)=\log_bx - \log_by}$](https://tex.z-dn.net/?f=%24%5Cboxed%7B%5Clog_b%5Cleft%28%5Cfrac%7Bx%7D%7By%7D%20%5Cright%29%3D%5Clog_bx%20-%20%5Clog_by%7D%24)
![$\log _2\left(\frac{zx^2}{y^2} \right) +\log _9(y^4 x^{12})$](https://tex.z-dn.net/?f=%24%5Clog%20_2%5Cleft%28%5Cfrac%7Bzx%5E2%7D%7By%5E2%7D%20%5Cright%29%20%2B%5Clog%20_9%28y%5E4%20x%5E%7B12%7D%29%24)
Answer:
it would be -1,-3
Step-by-step explanation:
all you do it flip it so all that would change is the x point
Answer:
0.40 is your answer
Step-by-step explanation:
0 .40 is your answer
Slope = rise/run.
slope = change in y/change in x.
slope = (4-2)/(7-4)
slope = 2/3.
Answer:
thanks g
Step-by-step explanation: