Question

mple 5: Find the value of a, if 64 x 4power 2a = 4power 7​

Answer 1

Answer:

A= 2

please mark as branliest answer

Answer 2

Given,

$64 * 4^{2a} = 4^{7}$

To Find,

The value of a =?

Solution,

We can solve the question using the following steps:

   $64 * 4^{2a} = 4^{7}$

⇒$\\4^{3} * 4^{2a} = 4^{7}$  (Since, $4^{3} = 64$)

⇒$\\4^{3 + 2a} = 4^{7}$

Equating the powers,

  $3 + 2a = 7$

⇒$2a = 4$

⇒$a = 2$

Hence, the value of a is equal to 2.