Try to rewrite the equation;
You know that 5 can be written as log3(3^5)
log3(3^5)=log3(x^2+18) <-- you can now cancel out log3
3^5=x^2+18
243-18=x^2
225=x^2
√225=x
+-15=x
You see that even if x is negative, the squared will always give a positive answer. Therefore, +15 and -15 are both possible answers.
Hope I helped :)
Answer:
Step-by-step explanation:
we have the expression:
We need to multiply the two terms in the first parenthesis by the two terms in the second parenthesis:
we solve each term taking into account the law of signs
(-)(-)=+
and
(+)(-)=-
also for the first term we use that
thus we have:
it can be simplified a little more if we factor an r of the second and third term:
Answer:
499/999
Step-by-step explanation:
The decimal number written is:
0.499...
Such that these 3 decimals are repeated as:
0.499499499...
Let's define this number as k
k = 0.499...
Let's multiply this number by 1000 (the same number of zeros as important decimals after the decimal point)
we get:
1000*k = (1000)*(0.499...) = 499.499...
Now we can subtract the original number k, so we get:
1000*k - k = 499.499... - 0.499...
In this way, we remove the part after the decimal point:
1000*k - k = 499.499... - 0.499...
(1000 - 1)*k = 499
999*k = 499
Now we can divide both sides by 999
(999*k)/999 = 499/999
k = 499/999
The fraction notation of our number is 499/999 (and this is the simplest form)
Answer:
Step-by-step explanation:
the center is at (0, -2)
radius = = 8
Answer:3028
Step-by-step explanation: