Given that 32✓2=2^a , find the value of a

Mathematics

2 answers:

Sergeeva-Olga [200]3 years ago

6 0

Answer:

a = 5.5

Step-by-step explanation:

$32\sqrt{2} = 2^a$
$2^52^{1/2} = 2^a$
$2^{5+1/2}=2^a$
a = 5.5

NNADVOKAT [17]3 years ago

5 0

Answer:

Step-by-step explanation:

All you need is something that when you divide the right side (the way I've written it) by 2, you get 32 sqrt(2). So a must also have sqrt(2) in it. In addition, it must also have 16 as well so that when you multiply by 2, you get 32.

2a = 32*sqrt(2) Divide by 2

a = 16*sqrt(2)

You might be interested in

Complete the table A- 5, 6, 7, 8, 9 B- 3.8, 4.6, 5.4, ____, ____,

Citrus2011 [14]

The common difference of the data set of A is 1. While the common difference in the data set of B is 0.80

B.) 3.8 + 0.80 = 4.60
4.6 + 0.80 = 5.40
5.4 + 0.80 = 6.20
6.2 + 0.80 = 7.00

5 0

3 years ago

Read 2 more answers

Why is it that -log(x+8)=4-log(x-7) has no solution? (they are log base 2)

Lerok [7]

$-log(x+8)=4-log(x-7)$

$-\log _{10}\left(x+8\right)+\log _{10}\left(x+8\right)=4-\log _{10}\left(x-7\right)+\log _{10}\left(x+8\right)$

$0=4-\log _{10}\left(x-7\right)+\log _{10}\left(x+8\right)$

$0+\log _{10}\left(x-7\right)=4-\log _{10}\left(x-7\right)+\log _{10}\left(x+8\right)+\log _{10}\left(x-7\right)$

$\log _{10}\left(x-7\right)=\log _{10}\left(x+8\right)+4$

$\log _{10}\left(x-7\right)=\log _{10}\left(x+8\right)+\log _{10}\left(10000\right)$

$x-7=\left(x+8\right)\cdot \:10000$

$\mathrm{Solve\:}\:x-7=\left(x+8\right)10000:\quad x=-\dfrac{26669}{3333}$

$\mathrm{Verifying\:Solutions}:\quad x=-\dfrac{26669}{3333}\space\mathrm{False}$

$\mathrm{No\:Solution\:for\:x\in \mathbb{R}}$

3 0

3 years ago

Read 2 more answers

Quadrilateral EFGH is inscribed inside a circle as shown below. Write a proof showing that angles H and F are supplementary. Cir

vladimir1956 [14]

Answer:

That is called a cyclic quadrilateral. Angles E and G add up to 180 degrees and angles H and F add up to 180 degrees.

Supplementary angles are two angles whose measures add up to 180°

7 0

3 years ago

Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x + 7|? 7 units up 7 units down

sergij07 [2.7K]