Answer:
x=0.27
Step-by-step explanation:
The given expression is

To solve this equation, we graph the functions:

and

From the graph, the two curves intersects at x=-0.24 and x=0.27.
But the domain of the logarithmic function is x>0
Therefore x=0.27
Answer:
13.
.
14. 
15. 2.
Step-by-step explanation:
13. 
= 
= 
= 
= 
= 
= 
=
.
14. 



.
15. ![\sqrt[3]{2} * \sqrt[3]{4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2%7D%20%2A%20%5Csqrt%5B3%5D%7B4%7D)
= ![\sqrt[3]{2 * 4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2%20%2A%204%7D)
= ![\sqrt[3]{2 * 2 * 2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2%20%2A%202%20%2A%202%7D)
= ![\sqrt[3]{2 ^3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2%20%5E3%7D)
= 2.
Hope this helps!
Answer:
6 6/8 OR 6 3/4
Step-by-step explanation:
2 5/8 +4 1/8
6 6/8
SImplify= 6 3/4
Yes your answer is correct... Because as per the question the equation formed should be y = 5(3)^x.
Answer:
and growth rate factor is 0.075
Step-by-step explanation:
The function that models the population of iguanas in a reptile garden is given by
, where x is the number of years.
Since, 
i.e.
.
Therefore, the monthly growth rate function becomes,
i.e.
.
i.e.
.
Hence, the monthly growth rate is i.e.
.
Also, the growth factor is given by
= 0.075.
Thus, the growth factor to nearest thousandth place is 0.075.