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OLga [1]
3 years ago
7

Evaluate each logarithm. Do not use a calculator. Log (125)(1/25)

Mathematics
1 answer:
svetlana [45]3 years ago
6 0

Answer:

-2/3

Step-by-step explanation:

Log125(1/25)=x

Raise each side to the base of 125

125^Log125(1/25)=125^x

1/25 = 125^x

Rewrite 25 as a power of 5  and 125 as a power of 5

1 / 5^2 = 5^3^x

The if power is in the denominator, we can bring it to the numerator by making it negative

5^-2 = 5^3^x

We know that a^b^c = a^(b*c)

5^-2 = 5^(3*x)

Since the bases are the same, the exponents are the same

-2 = 3x

Divide by 3

-2/3 = 3x/3

-2/3 =x

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Please help with a math problem :/ Please show steps...<br><br> x^2 -13x = -36
Marianna [84]
X^2 -  13 x = -36 
add 36 to both sides

x^2 - 13x +36 = 0
figure out the factor
(x-4)(x-9) = 0
so (x-4) or (x-9) equals 0
so solution is
x-4=0 add 4 to both sides and get x = 4
x-9=0 add 9 to both sides and get x=9
x={ 4, 9}
4 0
3 years ago
Plz help! (will make brainliest!)​
Ket [755]

Answer:

D

Step-by-step explanation:

If x is not equal to zero, then 1/x can be equal to x.

So which is k * 1/x if x =1?

D, because x is the same as 1x, which is equivalent to 1/1 (x).

I may be wrong though please look at other answers and if you have questions then comment

8 0
2 years ago
An artist used silver wire to make a square that has a perimeter of 40 inches. She then used copper wire to make the largest cir
Serhud [2]

Answer:

The artist used 8.6\ in more of silver wire

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

we know that

The Perimeter of the square is equal to

P=4a

where

a is the length side of the square

P=40\ in

so

40=4a

a=10\ in

so

Each side of the square has a length of 10 in

step 2

Find the circumference of the circle

The diameter of the circle is equal to the length of the side of  the square

The circumference is equal to

C=\pi D

we have

D=10\ in

substitute

C=(3.14)(10)=31.4\ in

step 3

Find the difference

40\ in-31.4\ in=8.6\ in

4 0
3 years ago
Simplify 4x^6/2x^4 step by step <br><br> please<br><br> thanks
mrs_skeptik [129]
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Answer: 2x^2
5 0
3 years ago
Four bread rolls weigh a total of 3/5 pounds. How much does each bread roll weigh?
timama [110]
Well, for his you would have to find the unit rate.
The easiest way to do this would first be converting 3/5 into a fraction (0.6)

next, divide that by 4 to get the weight of 1.

0.6/4 (the same as 0.6 x 0.25 or 6/10 x 1/4 if you are doing it without a calculator)

each bread weighs 3/20 (or 0.15) pounds.

7 0
3 years ago
Read 2 more answers
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