Question

The value of x, if
$(\sqrt{6)x \: = 6power4}$
a) 4
b2
c 8
d 1/2​

Answer 1

We have:

$\sqrt{6^x}=\sqrt{6^4}$

We have to find the value of x.

Solution:

$\sqrt{6^x}=\sqrt{6^4}$

Squaring both sides, we get

$6^x=6^4$

Comparing the powers of 6, we get

x = 4

∴ x = 4

Thus, the required "option a) 4" is correct.