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3 years ago

Evaluate ㏒ b 1, b > 0.

Mathematics

1 answer:

IrinaVladis [17]3 years ago

7 0

Answer:

The solution is 1.

Step-by-step explanation:

Logarithm:

Suppose we have a logarithmic equation in the following format:

$\log_{a} b = c$

It means that:

$a_c = b$

In this question:

$\log_{b} 1 = x$

Which means that:

$b^x = 1$

Every number, elevated to 0, is 1. So

$b^0 = 1$

Which means that the solution is $x = 1$

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Find two numbers, if their sum is −11 and their difference is 41

snow_tiger [21]

The larger one is (-11 + 41)/2 = 15.

The smaller one is (-11 -41)/2 = -26.

_____

For two numbers a and b with sum s and difference d, you can write the equations

$a+b=s\\a-b=d$

Then adding the equations and dividing that sum by 2, you get

$(a+b)+(a-b)=(s)+(d)\\2a=s+d\\a=\dfrac{s+d}{2}$

You can subtract the second eqution from the first and get a similar result for the smaller number

$(a+b)-(a-b)=(s)-(d)\\2b=s-d\\b=\dfrac{s-d}{2}$

These are the formulas we used above.

3 0

4 years ago

Andy cut rope for an activity at outdoor camp. He had 504 centimeters of rope to cut into equal-length pieces. How many of the w

mina [271]

Answer: B, C, E

Step-by-step explanation:

For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.

A. 12 pieces of 42.3 centimeter long rope.

= 12 × 42.3

= 507.6

This is wrong

B. 15 pieces of 33.6 centimeter long rope

= 15 × 33.6

= 504cm

This is correct

C. 16 pieces of 31.5 centimeter long rope

= 16 × 31.5

= 504cm

This is correct

D. 20 pieces of 25 centimeter long rope

= 20 × 25

= 500cm

This is incorrect

E. 35 pieces of 14.4 centimeter long rope

= 35 × 14.4

= 504cm

This is correct

Therefore, the correct option are B, C and E.

4 0

3 years ago

Find n.<br><br> 6/9 = n/36<br><br> n = (Blank)

mezya [45]

9*4=36 so you have to multiply the numerator and the denominator by 4 to get n.
$\frac{6}{9} * \frac{4}{4}$ = $\frac{24}{36}$
n=24

7 0

3 years ago

Find the value of x so that f(x)=3

Leokris [45]

Answer:

f(x) = (1/3)x - 2

f(x) = (1/3)(3) - 2

f(x) = 1 - 2 = -1

Step-by-step explanation:

f(x) usually refers to a function not a multiplication of two variables

4 0

3 years ago

Order the angles measures from least to greatest

enot [183]

Answer:

M < P < N

Step-by-step explanation:

Greater angles oppose sides of greater length.

6 0

2 years ago