Answer:
Below
Explanation:
The equation: 3(2^2t-5)-4=10
1) Add 4 to each side of the equation --> 3(2^2t-5)=14
2) Divide both sides of equation by 3 --> (2^2t-5)=14/3
3) Take the log of each side --> log(2^2t-5)=log(14/3)
4) Use the Exponential Property and write 14/3 in decimal form --> (2t-5)log2=log4.67
5) Divide each side by log 2 --> 2t-5 = log4.67/log2
6) Find the value of log4.67/log2 and substitute --> 2t-5=2.23
7) Add 5 to each side of the equation --> 2t=2.23+5
8) Simplify --> t=3.625
Sorry, no explanations.