Question

Between which two integers does x lie when 2* = 50?​

Answer 1

`2^1=2\\2^2=4\\2^3=8\\2^4=16\\2^5=32\\2^6=64`

50 lies between 2^5 and 2^6. Therefore, x is between 5 and 6.

I hope this helps, please let me know if you have any questions!

Answer 2

(5, 6)

Explanation:

To find the range of integers between which
`\sf 2^x = 50` lies, we can take the logarithm of both sides of the equation.

`\sf log(2^x) = log(50)`

`\sf x \cdot log(2) = log(50)`

`\sf x = (log(50) )/( log(2))`

Using a calculator, we find that x is approximately 5.64.

Since x must be an integer, it lies between 5 and 6.

Therefore, the answer is (5, 6).