Answer:
The required value of t is equal to 2
Step-by-step explanation:
We need to solve the following expression :
Now, using the base rule :
![2=\log_4(4^2)\\\\\implies 2= \log_4(16)](https://tex.z-dn.net/?f=2%3D%5Clog_4%284%5E2%29%5C%5C%5C%5C%5Cimplies%202%3D%20%5Clog_4%2816%29)
Now, using this value of 2
![\log_4(7t+2)=2\\\\\implies\log_4(7t+2)=\log_4(16)\\\\\implies 7t+2=16\\\\\implies 7t=16-2\\\\\implies 7t=14\\\\\implies t = 2](https://tex.z-dn.net/?f=%5Clog_4%287t%2B2%29%3D2%5C%5C%5C%5C%5Cimplies%5Clog_4%287t%2B2%29%3D%5Clog_4%2816%29%5C%5C%5C%5C%5Cimplies%207t%2B2%3D16%5C%5C%5C%5C%5Cimplies%207t%3D16-2%5C%5C%5C%5C%5Cimplies%207t%3D14%5C%5C%5C%5C%5Cimplies%20t%20%3D%202)
Hence, The required value of t is equal to 2
Answer:
Step-by-step explanation:
As square roots has to be positive, there is no positive value for x which will satisfy the equation. As there is also a negative number outside the square root, the graph will have negative y-values for every x-value.
Answer:
1) is greater than
2) is equal to
3) is equal to
4) is less than
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Answer:
15 to 27 (which is equal to 5:9)
Step-by-step explanation:
The ratio 15 to 12 indicates that there is a total of 27 people in the classroom (15+12). So, if you want boys to total students, it's 15 to 27.
You can divide each of these by 3 to simplify it and get 5:9.
Answer:
10/4, -10/-4, -5/-2, and 5/2
Step-by-step explanation:
These are equivalent.