Question

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

Answer 1

Answer:

$x\:>\:6.64386$

Step-by-step 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: $\log_aa=1$

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

$x\:>\:6.64386$