What is the value of x given that `2*4^(4*log_4 x) = 486`

### 1 Answer | Add Yours

The equation `2*4^(4*log_4 x) = 486` has to be solved for x.

`2*4^(4*log_4 x) = 486`

=> `4^(4*log_4 x) = 243`

=> `4^(log_4 x^4) = 243`

Use the property `a^(log_a b) = b`

=> `x^4 = 243`

=> `x = 3*root(4) 3`

**The solution of the equation is **`x = 3*root(4) 3`

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes