Question

Fill in the power 4 _ =64

Answer 1

`\Huge \boxed{\mathrm{3}}`

Explanation:

Let the power be x.

`\mathrm{4^x=64}`

Take log of both sides.

`\mathrm{log(4^x)=log(64)}`

`\mathrm{x \cdot log(4)=log(64)}`

Divide both sides by log(4).

`\displaystyle \mathrm{x=(log(64))/(log(4)) }`

`\mathrm{x=3}`

Answer 2

the 3'd power

Explanation:

4x4=16 16x4=64