3^5
3*3*3*3*3 = 243
3*3 = 9 *3=27 *3 =81 *3 =243
X = -4
It can also be written as x + 4 = 0
From 1st condition:
3^(x+1)=81
Take log on both sides,
➡ log [3^(x+1)]=log81
Use the property: log(x^a)=a logx
➡ (x+1) log 3=log(3⁴)
➡ (x+1) log 3=4×log 3
➡ (x+1)=4 (log 3 /log 3)
➡ x+1=4
➡ x=3➡↪➡↪ ANS
From 2nd condition, (Same process are repeated)
81^(x-y)=3
➡ 3^4(x-y)=3
➡ log [3^4(3-y)]=log 3
➡ 4(3-y) log 3=log 3
➡ (3-y)=(log 3)/(4log 3)
➡ 3-y=(1/4)
➡ y=11/4 ➡↪➡↪ ANS
13500 m in 250 s
s is the second rate
deomenator is bottom number in a/b, denomenator is b
13500m/250s
use clculator or something to divide or use head
54m/s
answer is A
Z= 138/625 or in decimal form it’s 0.2208