3 years ago

Yo my dudes! Can anyone help me out with the problem below? Thanks!

Mathematics

1 answer:

Marrrta [24]3 years ago

5 0

Dont look at this Answer bc i just need points but it looks like its going to be 78

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If Logx (1 / 8) = - 3 / 2, then x is equal to<br> A. - 4<br> B. 4<br> C. 1 / 4

Fudgin [204]

Answer:

B. 4

Step-by-step explanation:

Given :

$log_x(\frac{1}{8})=-\frac{3}{2}$

The logarithm function can be converted to an exponential function as

$[\log_ab=c]$ can be expressed as $[a^c=b]$

Similarly for the given expression

$log_x(\frac{1}{8})=-\frac{3}{2}$

We can write,

$x^{-\frac{3}{2}}=\frac{1}{8}$

Using property of negative exponents $[a^{-b}=\frac{1}{a^b}]$

$\frac{1}{x^{\frac{3}{2}}}=\frac{1}{8}$

So we can write that as:

$x^{\frac{3}{2}}=8$

Writing the exponents in radical form as $a^{\frac{b}{c}}=(\sqrt[c]{a})^b$

$(\sqrt{x})^3=8$

Taking cube root both sides to remove the cube.

$\sqrt[3]{(\sqrt{x})^3}=\sqrt[3]{8}$

$\sqrt x=2$

Squaring both sides to remove square root.

$(\sqrt x)^2=2^2$

∴ $x=4$

8 0

4 years ago

(3b)^2 without exponents

Strike441 [17]

That's impossible
the answer is 9b^2

4 0

4 years ago

How do I solve this

mojhsa [17]

GM = 1/2(GH)

7x + 2 = 1/2(32)

...multiply 1/2

7x + 2 = 16

...subtract 2

7x = 14

...divide 7

x = 2

GM = 7(2) + 2 = 16

MH = GM, so it is also 16

6 0

3 years ago

Which characteristics involves cleavage and fracture

Anestetic [448]

Answer:

none of the chartacier

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

1. Nolan purchased a shirt at store A. He paid $17.50 for the shirt. Scott purchased the same shirt at store B for $20.95. How m

Alchen [17]

20.95-17.50=3.45

Nolan saved $3.45

3 0

4 years ago

Read 2 more answers