SOLUTION: 1. Prove that. (I) log3. Log2. Log√3 81=1 (ii) Logax X logby = Logbx X logay (iii) log2. Log2. Log2 16=1

Algebra.Com
Question 991815: 1. Prove that. (I) log3. Log2. Log√3 81=1
(ii) Logax X logby = Logbx X logay
(iii) log2. Log2. Log2 16=1

Answer by ikleyn(52817)   (Show Source): You can put this solution on YOUR website!
.
(iii) log2. Log2. Log2 16=1
--------------------------------------

The statement is: = 1.

Proof: =         (since = 4)

                                            =                   (since = 2)

                                            = 1.

RELATED QUESTIONS

1. 5.logbx+9.logby-3.logbz 2. log2x+log2(x-6)=4 3. logbx-(logby+logbz) (answered by JimboP1977)
log2(x)+log2(x+1)=log2(6) (answered by LinnW)
Log2 (x+1) - Log2 X= Log2... (answered by htmentor)
Log2 (x+1) - Log2 X= Log2 4 (answered by Gentle Phill)
Prove that log(1+2+3)= log1+... (answered by Alan3354,josmiceli)
log2(x-1)+log2(x+10=3 (answered by nerdybill)
To prove: # log(1+2+3)=log1=log2+log3 (answered by jim_thompson5910)
solve :... (answered by rapaljer)
logx+log(x+1)=log2 (answered by josgarithmetic,ikleyn)