Question

Find the value of x, if: (a) 6power2×6powerX=6power6​

Answer 1

Answer:

x=8

The value of x = 8

Step-by-step explanation:

We have,

√6 = 64

To find, the value of x =?

√6 = 64

Since, 6 = √6 x √6

√6* =(√6 × √6) ¹

Using the identity,

+ am = a 2m

→ √6* = (√6¹+¹)4

√6² = (√6³) ¹

Using the exponential identity,

(am)n = a' mn

√6* = √6²×4

√6√68 = V

The base are same, then comparing the powers of √6, we get

⇒x=8

Thus, the value of x = 8