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
12, 3/4=12.75. 2, 1/2=2.5. All you have to do is multiple base * height to get your answer. so 12.75*2.=31.875.
Let's write 2 equations from the two statements given.
<em>Sarah spent 10 dollars on both oranges and apples</em>
<em />
Let the price of oranges be "x" and price of apples be "y", thus we can write:

Oranges cost 3 less than apples, thus we can say:

We can substitute this into the first equation and solve for y:

Thus, let's solve for x now,

We want the price of oranges (x), thus,
<em>Price of Oranges = $3.50</em>
Answer:
8:3
Step-by-step explanation:
,,,,lol hope it helps i don't know how to explain,,, I guess its just dividing you know like 15÷5= 3 so on