5 + (3x) = 32
-5 -5
3x = 27
/3 /3
x = 9
V=(1/4)³
V=1/16 ft³
volume of 4 cubes= (1/16)·4=4/16= 1/4 ft³
Answer:
Step-by-step explanation:
I don not understand what is for 4 here. So there are 2 cases:
Case 1: If you mean: log[4(x+20)]= 3
We know 3 = log(10^3)= log(1000)
So we have log[4(x+20)]= log(1000)
so 4(x+20)= 1000
and x+20 = 1000/4
x+20 = 250 and finally x= 250-20, x=230
The solution is 230.
Case 2; If you mean that 4 is the base of logarithm.
![log_{4}(x+20)= 3](https://tex.z-dn.net/?f=log_%7B4%7D%28x%2B20%29%3D%203)
and we know that ![3=log_{4}(3^{4} )= log_{4}(81)](https://tex.z-dn.net/?f=3%3Dlog_%7B4%7D%283%5E%7B4%7D%20%29%3D%20log_%7B4%7D%2881%29)
So we have ![log_{4}(x+20)= log_{4}(81)](https://tex.z-dn.net/?f=log_%7B4%7D%28x%2B20%29%3D%20log_%7B4%7D%2881%29)
and x+20 = 81
or x= 81-20
x=61
The answer is 61.
Hope that useful for you, both cases.