Question

Solve for the positive value of x: logx256=4
the x is bellow log not next to it please help

Answer 1

x = 4

Explanation:

Knowing that:

`log_(a)(x) = b`

Is equal to

`x = a {}^(b)`

And knowing that:

`log_(x)(256) = 4`

`x {}^(4) = 256`

Solve by finding the x using the fourth root

`\sqrt[4]{ {x}^(4) } = \sqrt[4]{256}`

That is equal to

`x = 4`