Question

What is the solution to the equation log (2) x - log (2) 4 = 5

Answer 1

log(2)4/4=5?

Answer 2

log(2)x/4=5 sorry

Answer 3

one way to do this is to know that \(\log_2(4)=2\) since \(2^2=4\)
that gives you
\[\log_2(x)+2=5\implies \log_2(x)=3\] then rewrite in exponential form as \(x=2^3\)

Answer 4

ok it is minus, sorry
start with
\[\log_2(x)-2=5\implies \log_2(x)=7\implies x=2^7\]

Answer 5

what property allows log(2)(4)=2?

Answer 6

when i type it into my calculator it eqauls 1.204

Answer 7

Simplify: log 2(x/4)=5
2^5=x/4
32=x/4
x=128

Answer 8

The equation is :
\[\Large \log_2x-\log_24=5 \]
So :
\[\Large \log_2x=5+\log_24\]
But :
\[\Large \log_24=\log_22^2=2\log_22=2\times1=2\]
So the equation becomes :
\[\Large \log_2x=5+2=7\]
So :
\[\Large x=2^7\]

Answer 9

i see thakns alot guys!

Answer 10

better than my teachers lol!