Question

simplify ( log 4 upon log 2)​

Answer 1

Answer:

2

Step-by-step explanation:

log4/log2 = log(base2)4

NOW, use the definition of logs to find that 2² = 4 so the whole expression equals 2.

(You can do this easily on the calculator also and still get 2 for an answer.)

that's it!

4 = 2x2

log4 = log2x2 = log2 + log2 = 2log2

divide by log2 ans = 2

log4 = log2² = 2log2

Cancel log2 to get the answer: 2

Change of Base Rule:

log base a (x) = (log base b (x)) / (log base b (a))

so...

(log4) / (log2) = log base2(4) = 2

Hopefully this helps--good luck.

log4 = log(2^2) = 2log2 where ^ represents power

=> (log4)/(log2) = 2log2/log2 =2

4=2^2 so log(4)=2log(2)

rewrite as 2log(2)/log(2)=2