
<em><u>Solution:</u></em>
Given that,

<em><u>Use the following log rules</u></em>
Rule 1: 
Rule 2: 
Rule 3: 

Break 162 down to primes:


Thus we get,

Next

Break 324 down to primes:


Next

By rule 2

Next

By rule 2

Thus the given are evaluated in terms of x and y
12. 15 (3x5x1)
13. 8 (4x2x1)
14. 18 (6x3x1)
Hope this helps! :D
Answer:
1025
Step-by-step explanation:
3075/3=1025
Answer:
18
Step-by-step explanation:



1. 3x - 2y = 0 => y = 3/2x
4x + 2y = 14<=> 4x + 2*(3/2x) = 14<=> 7x = 14<=> x = 2 & y = 3
2.3p + q = 7=> q = 7 - 3p
2p - 2q = -6<=> 2p - 2*(7-3p) = -6<=> 2p - 14 + 6p = -6<=> 8p = -6 + 14 = 8<=> p = 1 & q = 4
3.3x - 2y = 1=> x = (1+2y)/3
8x + 3y = 2<=> 8*(1+2y)/3 + 3y = 2<=> 8*(1+2y)/3 - 2 = -3y<=> 3*(8*(1+2y)/3 - 2) = -3*(3y)<=> 8*(1+2y) - 6 = -9y<=> 8 + 16y - 6 = -9y<=> 2 = -25y<=> y = -2/25 & x = 7/25