Question

Find the value of x 16 = 4log, 4096

Answer 1

Answer:

x=

​4

​

​log

​​ ,256

Step-by-step explanation:

1 Regroup terms.

16x=4log,409616x=4log,4096

2 Break down the problem into these 2 equations.

16x=4log16x=4log

16x=409616x=4096

3 Solve the 1st equation: 16x=4log16x=4log.

x=\frac{log}{4}x=

​4

​

​log

​​  

4 Solve the 2nd equation: 16x=409616x=4096.

x=256x=256

5 Collect all solutions.

x=\frac{log}{4},256x=

​4

​

​log

​​ ,256

Done