Question

For what x value will the value of
y = 2* be greater than 100?

Answer 1

`x\:>\:6.64386`

Explanation:

We want to find the value of
`x` for which
`2^x\:>\:100`

We take logarithm to base 2 of both sides.

`\implies \log_22^x\:>\:\log_2100`

`x\log_22\:>\:\log_2100`

Recall that:
`\log_aa=1`

`x(1)\:>\:\log_2100`

`x\:>\:6.64386`