Answer:
The required value of t is equal to 2
Step-by-step explanation:
We need to solve the following expression :
[tex]\log_4(7t+2)=2[/tex]
Now, using the base rule :
[tex]2=\log_4(4^2)\\\\\implies 2= \log_4(16)[/tex]
Now, using this value of 2
[tex]\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[/tex]
Hence, The required value of t is equal to 2
