Answer:
![\log{\dfrac{3\sqrt{x}(x^3+4)}{2}}](https://tex.z-dn.net/?f=%5Clog%7B%5Cdfrac%7B3%5Csqrt%7Bx%7D%28x%5E3%2B4%29%7D%7B2%7D%7D)
Step-by-step explanation:
![\log{9}+\dfrac{1}{2}\log{x}+\log{(x^3+4)}-\log{6}=\log{\left(\dfrac{9x^{\frac{1}{2}}(x^3+4)}{6}\right)}\\\\=\boxed{\log{\dfrac{3\sqrt{x}(x^3+4)}{2}}}\qquad\text{matches choice A}](https://tex.z-dn.net/?f=%5Clog%7B9%7D%2B%5Cdfrac%7B1%7D%7B2%7D%5Clog%7Bx%7D%2B%5Clog%7B%28x%5E3%2B4%29%7D-%5Clog%7B6%7D%3D%5Clog%7B%5Cleft%28%5Cdfrac%7B9x%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%28x%5E3%2B4%29%7D%7B6%7D%5Cright%29%7D%5C%5C%5C%5C%3D%5Cboxed%7B%5Clog%7B%5Cdfrac%7B3%5Csqrt%7Bx%7D%28x%5E3%2B4%29%7D%7B2%7D%7D%7D%5Cqquad%5Ctext%7Bmatches%20choice%20A%7D)
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The applicable rules of logarithms are ...
log(ab) = log(a) +log(b)
log(a/b) = log(a) -log(b)
log(a^b) = b·log(a)
Answer:
The number is 92
Step-by-step explanation:
Let x equal the number
It is tripled
3x
Then it is tripled again
3(3x)
That equals 828
3(3x) = 828
9x =828
Divide each side by 9
9x/9 =828/9
x =92
<span>The factors of 16 are 1, 2, 4, 8, and 16.</span>
Answer:
Yes. Both are graphing calculators. TI 83 has a black only screen while the TI 84 has a colored screen
To find a percent of a number, multiply the percent by the number.
First we find the number of pennies.
40% of 220 =
= 40% * 220
= 0.4 * 220
= 88
88 coins are pennies.
220 - 88 = 132
132 coins are not pennies.
Now we find 25% of 132.
25% of 132 =
= 25% * 132
= 0.25 * 132
= 33
33 coins are partners.
(Did you mean quarters instead of partners?)