X should equal 9. This is because something in logarithmic form is interchangeable with something in exponential form. log b^x=y is the same as b^y=x, so log3^x=2 is the same as 3^2=x which is 9.
Answer:
Step-by-step explanation:
Let 
represent the amount of money he initially started with.
After he spent 20% on books, he will have 
of his initial money left. We can represent this as 
.
Following that, the boy spends 20% of the remainder of his money on food. Similarly, he will have of the remainder of money he had left after he purchased the books. Therefore, he ends up with 
of his money left.
Since we're given that he had $2,000 after all these transactions, we have the following equation:
Divide both sides by 0.64 to isolate and solve for :
Therefore, the boy had $3,125 to begin with.
Answer:
2³² -1
Step-by-step explanation:
The sequence has a₁ = 1 and r = 2. Filling in the numbers for n=32, we have ...
S₃₂ = 1·(1 -2³²)/(1 -2)
S₃₂ = 2³² -1
Answer:
1110
Step-by-step explanation:
