Question

find x, if 2log2 x=4 ​

Answer 1

Step-by-step explanation:

The value of x is equal to 4.

Step-by-step explanation:

We have,

2\log_2x=42log

2

x=4

To find, the value of x = ?

∴ 2\log_2x=42log

2

x=4

⇒ \log_2x=\dfrac{4}{2}log

2

x=

2

4

⇒ \log_2x=2log

2

x=2

⇒ x=2^2x=2

2

[ By properties of logarithm]

⇒ x = 4

∴ The value of x = 4

Thus, the value of x is equal to 4.

Answer 2

Answer:

x=4

Step-by-step explanation:

it can be written as log₂x²=4

which means 2⁴=x²

x=±2²=±4

since the log cannot be applied to negative numbers

x=4