Question

Log base 2 of (3) = 1.585, find the value of log base 2 of (18) =??

Answer 1

Answer:

4.17

Step-by-step explanation:

log base 2 of 3 = 1.585

value of log base 2 of (18) =

18 can be written as 3^2 × 2

so log base 2 of 3^2 × 2

now if u have clarity in properties of log then

loga×b = Loga + logb

so make it understood as 2 is in base : log3^2×2

log3^2 + log2

now again using property of log

loga^n = n ×loga

so

log3^2 = 2 log3

so value

= 2 log3 + log2

now as I ve already mentioned

2 is in the base

again using log property

we know that log base a (a) = 1

means if value in bracket and base is equal then its value = 1

hence log base 2 (2) =1

value

2 log base 2 (3) + 1

2×(1.585)+1 (given) = 3.17 + 1

answer = 4.17

Answer 2

Log to the 2 of 3= 1.585
18 can be written as 3 multiply 3 multiply 2 . In log we get log3 + log3 + log2 = 1.585+1.585+1 so we get 4.170
Hope you understand