Question

Use the change base formula to evaluate log4 27. The convert log4 27. Then convert log4 27 to a logarithm in base 2. Round to the nearest thousandth.
A.2.377; log2 13.5
B.1.431; log2 13.5
C.3.296; log2 5.196
D.2.377: log2 5.196
I have already did most of the math and came up with A or D. I just can't figure out the second part of the question

Answer 1

I hate this math topic lol

Answer 2

its better than geometry

Answer 3

tru dat tru dat

Answer 4

change of base formula

log (b) x = log(d) x / log(d) b

Answer 5

yeah i got that log 27/ log 4 = 2.377

Answer 6

I cant figure out the second part of the answer.

Answer 7

i guess they mean
\[\log _{2} 27\]

Answer 8

i'm confused by this question i must admit
i get log4 27 equal to (1/2) log2 27 or log2 27^(1/2)

Answer 9

I don't know what they mean? @Nnesha. and where are you getting (1/2) from? @cwrw238

Answer 10

log4 27 = log2 27 / log2 4 by the change of base formula
and since log2 4 = 2
log4 27 = (½) log2 27

Answer 11

thats a half log2 27

Answer 12

= log2 27^(1.2) = log2 5.196

Answer 13

so its D

Answer 14

where did 1.2 come from?

Answer 15

sorry thats 1/2

Answer 16

27^(½) = sqrt27 = 5.196

Answer 17

i used one of the rules of logs

n log a = log a^n

Answer 18

whats a and n?

Answer 19

thats a general formula
a and n stand for any numbers
if you put n = ½ and a = 27

Answer 20

you get the above result

Answer 21

well no because you put n as a question mark

Answer 22

thats open study problem it was meant to be a half

Answer 23

yea but 27^? doesn't =1/2

Answer 24

27 to the power half = square root of 27 = 5.196

Answer 25

okay the root sign does. i see now.

Answer 26

good

Answer 27

Thank you :)

Answer 28

yw