Answer:
![= log_{10}(\frac{6\sqrt{2} }{\sqrt{7} } )](https://tex.z-dn.net/?f=%3D%20log_%7B10%7D%28%5Cfrac%7B6%5Csqrt%7B2%7D%20%7D%7B%5Csqrt%7B7%7D%20%7D%20%29)
Step-by-step explanation:
Given the expression ![log10\sqrt{36} + log10\sqrt{2} - log10\sqrt{7} \\](https://tex.z-dn.net/?f=log10%5Csqrt%7B36%7D%20%2B%20log10%5Csqrt%7B2%7D%20%20-%20log10%5Csqrt%7B7%7D%20%5C%5C)
According to the law of logarithm;
loga + log b = log(ab) and log a - log b = log(a/b)
The given expression becomes;
![log10\sqrt{36} + log10\sqrt{2} - log10\sqrt{7} \\= log_{10}(\frac{\sqrt{36} \times \sqrt{2} }{\sqrt{7} })\\= log_{10}(\frac{6\sqrt{2} }{\sqrt{7} } )](https://tex.z-dn.net/?f=log10%5Csqrt%7B36%7D%20%2B%20log10%5Csqrt%7B2%7D%20%20-%20log10%5Csqrt%7B7%7D%20%5C%5C%3D%20log_%7B10%7D%28%5Cfrac%7B%5Csqrt%7B36%7D%20%5Ctimes%20%5Csqrt%7B2%7D%20%7D%7B%5Csqrt%7B7%7D%20%7D%29%5C%5C%3D%20log_%7B10%7D%28%5Cfrac%7B6%5Csqrt%7B2%7D%20%7D%7B%5Csqrt%7B7%7D%20%7D%20%29)
Answer:
29 and 71
Step-by-step explanation:
29 + 71 = 100
So, 29 and 71 is the answer.
Answer:
dr. potter provides 54 vaccinations TOTAL (including both measles and polio).
p+m=54
since there are 4 doses of polio and of measles, you have to use a variable to distinguish how many doses were given for measles and polio out of 142 given doses.
4p+2m=142
p+m=54
4p+2m=142
^^system of equation
p+m=54
4p+2m=142
p=54-m
4p+2m=142
(substitute 54-m to the equation)
4(54-m)+2m=142
m=37
(collect like terms, then substitute the value of m into the first equation)
p=54-37
p=17
(m, p)=(37, 17)
Step-by-step explanation:
i hope this helps, sorry for the wait
Bcuz u didn't do the steps you were supposed to do