How do you evaluate log_4 (8)?

1 Answer
KillerBunny ยท Tony B
May 7, 2018

1.5

Explanation:

Since 4^1=4 and 4^2=16, the answer lies between 1 and 2. There is no much more that we can do by hands, so I'm assuming you meant something like "how to compute log_4(8) with a calulator?"

If so, you must use the rule that allows us to change the base:

log_a(b) = log_c(b)/log_c(a)

So, assuming your calculator has a button for the natural logarithm, you have

log_4(8) = \frac{ln(8)}{ln(4)} = 1.5

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