Step-by-step explanation:
![8. log_{10}(2.15) = 0.332 \: then \: log_{10}(21500) = ..... \\ log(21500) = log(2.15 \times 10000) \\ = log(2.15) + log(10000) \\ = log_{10}(2.15) + log_{10}( {10}^{4} ) \\ = 0.332 + 4 log_{10}(10) \\ = 0.332 + 4(1) \\ log_{10}(21500) = 4.332](https://tex.z-dn.net/?f=8.%20%20log_%7B10%7D%282.15%29%20%20%20%3D%200.332%20%5C%3A%20then%20%5C%3A%20%20%20log_%7B10%7D%2821500%29%20%20%20%3D%20.....%20%5C%5C%20%20log%2821500%29%20%20%3D%20%20log%282.15%20%5Ctimes%2010000%29%20%20%5C%5C%20%20%20%3D%20%20log%282.15%29%20%20%2B%20%20log%2810000%29%20%20%5C%5C%20%20%20%3D%20log_%7B10%7D%282.15%29%20%20%2B%20%20log_%7B10%7D%28%20%7B10%7D%5E%7B4%7D%20%29%20%20%5C%5C%20%20%3D%200.332%20%2B%204%20log_%7B10%7D%2810%29%20%20%5C%5C%20%20%3D%200.332%20%2B%204%281%29%20%5C%5C%20%20log_%7B10%7D%2821500%29%20%20%3D%204.332)
9. log(2)=a, log(3)=b, then log(36)=______
log(36) = log(6*6) = log(6) + log(6)
log(36)= log(6) + log(6)
log(36) = log(3*2) + log(3*2)
log(36) = (log(3) + log(2)) + (log(3) + log(2))
log(36) = (a + b) + (b + a)
log(36) = a + b + b + a
log(36) = 2a + 2b
Y = -1x+b
replace x and y to find b
2 = -1*2+ b
b = 4
Final:
y = -1x + 4
I hope someone solves your problem :)
Answer:
I miss my niece
Step-by-step explanation:
it's the meaning of that hope U get it ...