Can someone PLEASE help me solve this equation and put it in decimal form :/ im Stuck.

log2 9 + log2 a = log2 11

all the 2's are little 2's (there subscript)

Question

Can someone PLEASE help me solve this equation and put it in decimal form :/ im Stuck. 

log2 9 + log2  a = log2 11 

all the 2's are little 2's (there subscript)

anonymous · Answer

$$\log_2(9)+\log_2(a)=\log_2(9a)$$ by property of the log that says 
$$\log(A)+\log(B)=\log(AB)$$

anonymous · Answer

then if 
$$\log_2(9a)=\log_2(11)$$ it must be true that 
$$9a=11$$because any log is a one to one function

anonymous · Answer

so 1.2222 would be the answer correct?

anonymous · Answer

i would say it is $\frac{11}{9}$ and leave it at that

anonymous · Answer

lol thanks so much