Question

Find the solution for t in the equation 4 left parenthesis 2 to the power of t right parenthesis equals 10.

Answer 1

The solution to the equation 4(2^t) = 10 for t is 1.333.

According to the given question.

We have an equation.

4(2^t) = 10.

As we know that "a solution to an equation is a number that can be plugged in for the variable to make a true number statement".

So, for the solution to the equation 4(2^t) = 10 is given by solving this given equation for variable t.

4(2^t) = 10

⇒ 2^t = 10/4   (dividing both the sides by 4)

⇒ 2^t = 5/2

Taking log both the sides

⇒ log 2^t = log 5/2

⇒ t log 2 = log5 - log2

⇒t(0.30) = 0.7 - 0.30

⇒ t(0.30) = 0.4

⇒ t = 1.333

Hence, the solution to the equation 4(2^t) = 10 for t is 1.333.

Find out more information about solution to the equation here:

brainly.com/question/545403

#SPJ4