Find each missing value or expression. Show your steps.

Question

asked Jun 3, 2019 43.1k views

1 Answer

Cathay · Answer 1 · 2019-06-09T23:41:18+0000

Solution-

1-

$\Rightarrow 3^(\square)=27^(2x)$

$\Rightarrow 3^(\square) = (3^(3))^(2x) = 3^(6x)$ (∵ If the bases in both exponentials are same, then the powers are also equal )

$\Rightarrow \square = 6x$

2-

$\Rightarrow 25^{(3)/(2)} =5^(\square)$

$\Rightarrow (5^(2))^{(3)/(2)} =5^(\square)$

$\Rightarrow 5^(3) =5^(\square)$

$\Rightarrow \square=3$

3-

$\Rightarrow 4.253^(2t)=\square^(t)$

$\Rightarrow (4.253^2)^(t)=\square^(t)$

$\Rightarrow (18.08)^(t)=\square^(t)$

$\Rightarrow \square=18.08$ (∵ If the powers in both exponentials are same, then the bases are also equal )