What is the smallest integer n for which 25^n>5^12?
a.6
b.7
c,8
d.9
e.10
a.6
b.7
c,8
d.9
e.10
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Source: Beat The GMAT — Problem Solving |
Use the following formula:
(a^x)^y = a^(x*y)
Plugging in we have:
(5^2)^6 = 5^(2*6)
When n = 6 both sides are equal.
Thus when n = 7 the left side is greater than the right.
=)
(a^x)^y = a^(x*y)
Plugging in we have:
(5^2)^6 = 5^(2*6)
When n = 6 both sides are equal.
Thus when n = 7 the left side is greater than the right.
=)
