Question

2=(3)^t, t=?? Find the value of T.

Answer 1

Answer:

30/47

Step-by-step explanation:

Given that,

$2 = {3}^{t}$

To find the value of t.

Let's solve this given eqn.

Taking log on both sides, we get,

$= > log(2) = log( {3}^{t} )$

But, we know that,

• $log( {x}^{y} ) = y log(x)$

Therefore, we will get,

$= > t log(3) = log(2) \\ \\ = > t = \frac{ log(2) }{ log(3) }$

Also, we know that,

• $log(2) = 0.30$
• $log(3) = 0.47$

Substituting the values, we will get,

$= > t = \frac{0 .30}{0.47} \\ \\ = > t = \frac{30}{47}$

Hence, the required value is 30/47.