Answer:
3^3
Step-by-step explanation:
Exponents
9^3 can be rewritten as
3^2 ^3
Using exponent rules a^b^c = a^ (b*c)
3^2^3 = 3^6
3^6 / 3^3
We know that a^b / a^c = a^(b-c)
3^6 / 3^3 = 3^(6-3) = 3^3
Answer: The correct answer is: " 3 " .
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Step-by-step explanation:
_______________________________
The problem given is:
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Evaluate: log 2 base 8 .
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Rewrite as: "
" ; 
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Take note of the following definition of a logarithm:
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"
" ; ↔ "
" ;
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in which:
refers to the "base" ;
refers to the "argument" ;
refers to the "exponent" ;
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As such:
"
"
⇔ "
" ; Solve for "x" ;
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Note:
2⁰ = 1 ;
2¹ = 2 ;
2² = 2 * 2 = 4 ;
2³ = 2 * 2 * 2 = 8 .
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→ "
" ;
→ "
" ; since: "
" ;
→ as such: " x = 3 " ;
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Thus:
"log 2 base 8 " ;
=
.
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Hope this helps!
Best wishes to you!
Your answer is 35.75%.
Let’s pretend something at the store is $100. (It will save some math later)
100 - 35% leaves 65% (0.65 as a decimal)
100 x 0.65 = 65
That’s the price after the first discount. If we take 45% off of the sale price, we’ll be left with 55%, 0.55
65 x 0.55 = $35.75
Now normally you’d compare 35.75(sale price)/ 100(original price) to % off (x)/100, but doe this example, it’s unnecessary.
35.75/100 = x%/100
Answer:
Let,
P= kT
P = 10, when T = 500
So, 10=k500
or, k=10/500
or, k=1/50
When T=509
P=kT
or, P=(1/50)×509
or, P=508/50
or, P = 10.18
And when P = 509 (since the question isn't clear)
509=(1/50)×T
or, T=509×50
or, T=25450