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

asked Mar 28, 2021 35.9k views

3 votes

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

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2 votes

Answer:

$x\:>\:6.64386$

Explanation:

We want to find the value of
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:
$\log_aa=1$

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

$x\:>\:6.64386$

Jaltek answered Apr 3, 2021

3.6k points

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