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Illusion [34]
3 years ago
11

How to change base of logarithms: Best answer gets 27 points and brainliest answer

Mathematics
1 answer:
AlekseyPX3 years ago
6 0

Answer:

1/3

Step-by-step explanation:

 To change from one base to another, we use the formula

Logb x = Loga x/Loga b

log1/9  (3^(1/3) /3)


log3 ((3^(1/3) /3))

-------------------------

log3 (1/9)


Log a /b = log a - log b

and 1/9 = 3^-2

log3 ((3^(1/3) ) - log3 (3)

-------------------------

log3 (3^-2)


log a^b  = blog a


1/3 log3 (3 ) - log3 (3)

-------------------------

-2log3 (3)

We know log3 (3) =1


1/3 (1) - 1

-------------------------

-2 (1)


1/3  - 1

-------------------------

-2


-2/3

------

-2

Copy dot flip

-2/3 * -1/2


1/3

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X=10 because 76-26=50 and 50/5=10, z=104 because 180-76=104
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4 years ago
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boyakko [2]

Answer:

2 *1 =2

6*3=18

Step-by-step explanation:

5 0
3 years ago
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Describe how (2 cubed) (2 superscript negative 4) can be simplified. Multiply the bases and add the exponents. Then find the rec
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Add the exponents and keep the same base. Then reciprocal it and change the sign of the exponent. Then the value of the exponent expression is 0.5.

<h3>What is an exponent?</h3>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The exponent expression is 2³ × 2⁻⁴ can be simplified.

Add the exponents and keep the same base. Then we have

2³ × 2⁻⁴  = 2⁽³⁻⁴⁾

2³ × 2⁻⁴  = 2⁻¹

Then find the reciprocal and change the sign of the exponent.

2^3* 2^{-4} = 2^{-1}\\\\2^3* 2^{-4} = \dfrac{1}{2}\\\\2^3* 2^{-4} = 0.5

The value is 0.5.

More about the exponent link is given below.

brainly.com/question/5497425

7 0
2 years ago
Please help me do it
Lana71 [14]

Step-by-step Explanation:

We are going to solve this problem using integration by parts. We can write the integrand as

\dfrac{4x}{x^2+4x+3} = \dfrac{4x}{(x+3)(x+1)}

\:\:\:\:\:\:\:\:\:\:\:\:\:= \dfrac{A}{x+3} + \dfrac{B}{x+1}

\:\:\:\:\:\:\:\:\:\:\:\:\:= \dfrac{Ax + A + Bx + 3B}{x^2+4x+3}

\:\:\:\:\:\:\:\:\:\:\:\:\:=\dfrac{(A+B)x + (A+3B)}{x^2+4x+3}

Comparing the above term to the left hand side, we can see that

(A + B)x = 4x

A + 3B = 0

Solving for A and B, we find that A = 6 and B = -2 so our integrand becomes

\dfrac{4x}{x^2+4x+3} = \dfrac{6}{x+3} - \dfrac{2}{x+1}

We can now easily integrate this expression as follows:

\displaystyle \int{\dfrac{4x}{x^2+4x+3}}dx = 6\int{\dfrac{dx}{x+3}} - 2\int{\dfrac{dx}{x+1}}

\:\:\:\:\:\:\:\:\:\:\:\:\:= 6\ln|x+3| - 2\ln|x+1| + C

7 0
3 years ago
Which measurement could be a volume measure? A. 25 kg, B. 36 m, C. 44 mm, or D. 75 in???? Please help quickly! I will mark as br
RideAnS [48]
A i think bc its weight and volume is like weight I'm pretty sure 

7 0
3 years ago
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