Answer:
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Answer: -5
Step-by-step explanation:
3x=(2x+6)-15
3x=2x-9
x=-9
x+2=-7
x+4=-5
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
720/1 = 1800/x.....720 miles to 1 hr = 1800 miles to x hrs
cross multiply
(720)(x) = (1)(1800)
720x = 1800
x = 1800/720
x = 2.5 (or 2 1/2) hrs <==
