convert to logarithmic equations. For example, the logarithmic form of "23 = 8" is "log2 8 = 3".

Question

16 3/2 = 64 Please show work

Answer 1

log (base M) N = X is the same as M^X = N

log (base 16) of 64 = 3/2

16^3 = 4096; square root of 4096 is 16.

thus, 16^ (3/2) = 64

Answer 2

The way I tackle these stupid things is to remember that a logarithm is an exponent, and that it's sometimes useful to translate the question into English.
For your question, we have 16^3/2=64. This can be re-written as (16^1/2)^3=64.
I now translate into English to read "the square root of
16 cubed is 64. Makes sense to me.
Now the square root of 16 is 4, so I re phrase the English sentence to read 4^3=64
Ahh, that's better
Log64 to the base 4=3

Good luck to you. These things get easier with time.

Answer 3

Look at the answer to your other question. And learn to write "^n" for an exponent.

Answer 4

here is how it works:

Log base X Y=Z is the same as X^Z=Y