Question

Check My answer??
what is the value of log 64 8?
Would it be 2 right?

Answer 1

No, you're looking for what power you'd need to raise 64 to, to get 8

64^2 will not be equal to 8.

You want to get the 8, to look like 64 to the power of something (since log64 64 = 1)

8 is the square root of 64, right? So...

log64 8 = log64 (64)^0.5

Can you solve it now?

Answer 2

Im still kind of confused.

Answer 3

Understand this?

log64 8 = log64 (64)^0.5

Since 8 is the square root of 64. It'd help if i could draw it, but OS prob won't let me.

Answer 4

The 0.5 exponent is the same as a square root, btw.

Answer 5

Ohhhh okay I got it. hold on

Answer 6

My answer choices:
2/3
1/2 <- my answer.
3
2

Answer 7

Yes, since

log64 (64)^0.5 = 0.5 log64 64 = 0.5

Answer 8

Or think of this as log64 8

"what power do I need to raise 64 to, to get 8?"

Or in general, loga b

"what power do I need to raise a to, to get b?"

Answer 9

eg. log2 16

what power do you need to raise 2, to get 16? 2^5 = 16, so... 5.

Or write it as

log2 2^5 = 5*log2 2 = 5