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Evaluate expression. - Show Work

Expression: log216
 
Choices:
 
A) -6
 
B) 2
 
C) 3
 
D) 36
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2 Answers

x = log6216 ⇒
 
6x = 216
 
Take log of both sides, at any base.
 
x log6 = log216
 
x = log216 / log6 = 3
 
Answer (C) is correct.
log6216=log663=3log66=3*1=3

Comments

Certainly a simpler way to solve, if you realize up front that 216 is a perfect cube!
Hi Arturo, that's the first thing I do-look at the number and see what kind of number it is, a square, a cube, etc in terms of the base if given. Sometimes, like you say, it simplifies things. Actually, when you wrote 6x=216, this is another way to solve the problem: 6x=63, so x=3, just as simple.