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20 POINTS, Hi I really NEED HELP on this question, please

What is the approximate solution to the equation 2^t=22?

0.6712

1.0414

4.4594

11.0000

Sagot :

Answer:

[tex]t=4.4594[/tex]

Step-by-step explanation:

We can take the log 2 of both sides to get [tex]t=\log_2(22)[/tex].

We know that [tex]2^4<22<2^5[/tex], so [tex]4<t<5[/tex].

So, the solution is [tex]\boxed{t=4.4594}[/tex] because it's the only answer that works.