![f(x)=2( \sqrt[3]{27})^{2x}](https://tex.z-dn.net/?f=f%28x%29%3D2%28%20%5Csqrt%5B3%5D%7B27%7D%29%5E%7B2x%7D%20)
Here 2 on left most side is the coefficient, 2x is the exponent and the of the function is cube root of 27.
So,
![Base= \sqrt[3]{27} \\ \\ Base= \sqrt[3]{3^{3} } \\ \\ Base=3](https://tex.z-dn.net/?f=Base%3D%20%5Csqrt%5B3%5D%7B27%7D%20%20%5C%5C%20%20%5C%5C%20%0ABase%3D%20%5Csqrt%5B3%5D%7B3%5E%7B3%7D%20%7D%20%5C%5C%20%20%5C%5C%20%0ABase%3D3%20)
Thus, the simplified base for the function is 3. So correct answer is option B
Answer:
94136
Step-by-step explanation:
It would just be the same thing because their is no decimal or fraction after the number and 94136 is already a whole number
Step-by-step explanation:
step 1. what is the question? probably solve for x. okay.
step 2. 4^(2x) + 1 = 4
step 3. 4^(2x) = 3 subtract 1 from each side
step 4. ln4^(2x) = ln3 take on of each side
step 5. 2xln4 = ln3 definition of logs
step 6. 2x = ln3/ln4 divide both sides by ln4
step 7. x = ln3/2ln2^2 divide both side by 2 and replace 4 with 2^2
step 8. x = ln3/4ln2.
Answer:
There are 18 fish in the fish tank.
Step-by-step explanation:
The volume of a fish tank is 60 cubic feet: V = 60 ft³.
The density is 0.3 fish over feet cubed. d = 0.3 fish/ft³
We can find the number of fish using proportions. The required conversion factor is 0.3 fish/ft³. The number of fish is:
60 ft³ × (0.3 fish/ft³) = 18 fish
There are 18 fish in the fish tank.
