$\log a=7\hspace{15px} \log b=10\hspace{15px} \log c=3\\\\ \log \dfrac{a^8c^2}{b^3}=8\log{a}+2\log{c}-3\log{b}=(8)(7)+(2)(3)-(3)(10)\\\\=56+6-30=\boxed{32}$

The applicable rules of logarithms are ...

log(ab/c) = log(a) +log(b) -log(c)

log(a^b) = b·log(a)

6 0

2 years ago

On average, Haley is able to read 4 5/6 Chapters in the her book each week . How many weeks will it take Haley to read 9 2/3 Cha

Step2247 [10]

Answer:

2 weeks

Step-by-step explanation:

y = mx + b

y = total number of chapters read = $9\frac{2}{3}$

m = number of chapters read per week = $4\frac{5}{6}$

x = number of weeks = what we're solving for

b is not needed to find this solution

$9\frac{2}{3}$ = $4\frac{5}{6}$ x divide $4\frac{5}{6}$ from both sides

x = 2 weeks

6 0

2 years ago

What are the signs of the x- and y-coordinates of points within each of the four quadrants in the coordinate plane?

Naily [24]

In the first quadrant the signs would be (x,y) in the second quadrant they would be (-x,y) in the third (-x,-y) and the fourth (x,-y)

5 0

2 years ago