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bogdanovich [222]

2 years ago

9

Karsyn has a piece of wood that is 3 feet long. if she uses 2 and 13/16 feet to make a bookshelf, how many feet of wood does she

have left?

1 answer:

Evgesh-ka [11]2 years ago

6 0

Answer:

3/16 is left

Step-by-step explanation:

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The proof for the product property of logarithms requires simplifying the expression logb(bx y) to x y. Which property is used t

masya89 [10]

You can use the properties of logarithm to derive the simplified form of the given expression.

The simplification of the given expression requires the given below properties of logarithm

$log_a(b^c) = c \times log_a(b)\\\\$
$log_b(b) = 1$

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

$a^b = c$

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

$b = log_a(c)$

Some properties of logarithm are:

$log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b^c) = c \times log_a(b)\\\\log_b(b) = 1$

<h3>Using the above properties, to get to the simplified form of the given expression</h3>

The given expression is

$log_b(b^{x+y})$

Using the property $log_a(b^c) = c \times log_a(b)\\\\$ , we get

$log_b(b^{x+y}) = (x+y)\times log_b(b)$

Using the property $log_b(b) = 1$ , we get

$log_b(b^{x+y}) = (x+y)\times log_b(b) = (x+y) \times 1 = x + y$

Thus,

The simplification of the given expression requires the given below properties of logarithm

$log_a(b^c) = c \times log_a(b)\\\\$
$log_b(b) = 1$

Learn more about logarithms here:

brainly.com/question/20835449

3 0

2 years ago

Read 2 more answers

Van was asked to add 46 to 37 and round the result to the nearest ten. He figured that since he was going to have to round anywa

gulaghasi [49]

Answer:

80

Explanation:

46 + 37 = 83 so 83 rounded to the nearest 10 is 80

6 0

3 years ago

Read 2 more answers

Evaluate a1 (r)^n-1 for a1 = 2, r= 3, and n = 4.<br> A. 216<br> B. 18<br> C. 32<br> D. 54

DaniilM [7]

Answer:

$54$

Step-by-step explanation:

$a_1 {r}^{n - 1} \\ 2 \times {3}^{4 - 1} \\ 2 \times {3}^{3} \\ 2 \times 3 \times 3 \times 3 \\ 2 \times 9 \times 3 \\ 18 \times 3 \\ = 54$

Hope this helps you.

Let me know if you have any other questions :-):-)

4 0

3 years ago

Find the following sums ( for letter C)

anygoal [31]

Each number in the sum is even, so we can remove a factor of 2.

2 + 4 + 6 + 8 + ... + 78 + 80 = 2 (1 + 2 + 3 + 4 + ... + 39 + 40)

Use whatever technique you used in (a) and (b) to compute the sum

1 + 2 + 3 + 4 + ... + 39 + 40

With Gauss's method, for instance, we have

S = 1 + 2 + 3 + ... + 38 + 39 + 40

S = 40 + 39 + 38 + ... + 3 + 2 + 1

2S = (1 + 40) + (2 + 39) + ... + (39 + 2) + (40 + 1) = 40×41

S = 20×21 = 420

Then the sum you want is 2×420 = 840.

6 0

1 year ago

Can someone help me 10 points

Elanso [62]

The two angles form a right triangle which is 90 degrees.

Add the two to equal 90:

3x-8 + 4x = 90

simplify:

7x-8 = 90

Add 8 to both sides:

7x = 98

Divide both sides by 7:

x = 14

3 0

3 years ago