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Firdavs [7]
3 years ago
6

Which expressions are equivalent to log4(1/4x^2)

Mathematics
1 answer:
natulia [17]3 years ago
8 0

answer:

simplify:

log 4 ( x 2 ) − 1

evaluate:

log(x^2)/log(4)-1

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Given that log x = 3 and log y = 5, find log (x^2)(y^2)- log xy
strojnjashka [21]

Step-by-step explanation:

logx²y² - logxy

= log(x²y²/xy)

= logxy

= logx + logy

= (3) + (5)

= 8.

3 0
3 years ago
What best describes the asymptote of an exponential function of the form f(x)=b^x?
horrorfan [7]

It depends on the value of b


Exponential functions are defined for positive values of the base [ŧex] b [/tex]. Also, they're not defined if b=1, or at least let's say that this is a trivial case, since it is the constant function 1.


Case 0<b<1:

If the base sits between 0 and 1, the exponential function is constantly decreasing. The explanation is quite intuitive, assume for the sake of simpleness that b is rational. If it sits between 0 and 1, it means that it can be written as a fraction p/q, with p<q. So, if you give a large exponent to b, you obtain


\frac{p^x}{q^x},\quad p^x \ll q^x \text{ as } x \to \infty


On the other hand, if you consider negative exponents, you switch numerator and denominator and then raise to the same exponent the fraction q/p, which gets larger and larger.


So, if 0<b<1, we have


\lim_{x \to -\infty} b^x = \infty,\qquad \lim_{x \to \infty} b^x = 0


and thus 0 is a horizontal asymptote as x tends to (positive) infinity.


Case b>1:

This case is very similar, except all roles are inverted. Now you start with a fraction p/q where p>q. So, with positive, large exponents you get


\frac{p^x}{q^x},\quad p^x \gg q^x \text{ as } x \to \infty


And as before, negative exponents switch numerator and denominator, so the fraction becomes q/p and thus you have


\lim_{x \to -\infty} b^x = 0,\qquad \lim_{x \to \infty} b^x = \infty


So, again, 0 is a horizontal asymptote, but this time for x tending towards negative infinite.

6 0
3 years ago
Read 2 more answers
Difference between linear function and linear equation
poizon [28]
All linear equations produce straight lines when graphed, however not all linear functions produce straight line when graphed.

Hope it helps!
3 0
3 years ago
3 gal = pt please I'm in 5th grade
Sergeeva-Olga [200]
24 pints
since there are 8 pints in a gallon you can do 3 x 8 and get 24 cause you are converting a bigger unit into a smaller unit
7 0
3 years ago
. sipho buys a car for r169 000. he pays a deposit of 15% and then makes monthly installments of 1% of the leftover amount for 9
Aliun [14]

The amount for the deposit is $25350, monthly payment is $1436.5 and the total amount that Sipho pays is $178492.

Given price of car $169000, deposit of 15%, monthly installments being 1% of left over price and number of years be 9 years.

We have to find the amount of deposit, monthly installments and the total amount paid by Sipho.

We have been told that deposit is 15% of total amount. So the deposit will be 15%*169000=$25350.

Monthly installment is 1% of the left over amount.

left amount=169000-25350=$143650.

Monthly installment being =143650*1/100

=$1436.5

Total amount paid by Sipho=deposit +installment amount  * numberof installments

Number of installments=12*9

=108

Total amount=25350+1436.5*108

=25350+155142

=$178492

Hence deposit is $25350, monthly payment being $1436.5, total amount be $178492.

Learn more about installments  at brainly.com/question/2151013

#SPJ4

5 0
2 years ago
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