Question

Find the value of m if 4^m=256

Answer 1

hi..

here ...

${4}^{m} = 256$

${4}^{m} = {4}^{4}$

By the equality of base ..

$m = 4$

hope this helps you !

Answer 2

Answer:

The value of m = 4.

Step-by-step explanation:

Given,

$4^{m} = 256$

express $4^{m}$ $and$ $256$ $in$ $terms$  $of$ $2$ .

$4^{m }$ $can$ $be$ $expressed$  $as$ $2^{2m}$ $and$ $256$ $can$ $be$ $written$ $as$ $2^{8}$.

$2^{2m} = 2^{8}$

When bases are same, we equate thecoefficients of 2.

$2m = 8\\m=\frac{8}{2}$

$m= 4$

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