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shepuryov [24]
3 years ago
10

Item

Mathematics
1 answer:
mamaluj [8]3 years ago
7 0
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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
Pls help me what do the letters stand for​
kozerog [31]

Answer:

One possibility is:

S = 6

M = 4

U = 5

T = 1

H = 3

I = 0

N = 9

K = 2

Step-by-step explanation:

If we replace the letters that are being added with:

S = 6

M = 4

U = 5

we have:

6546\\+\\ 6546\\---\\13092

where T=1, H=3, I=0, N=9, K=2

8 0
3 years ago
Read 2 more answers
PLS HELP!! What is the value of x?
Tamiku [17]

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. Therefore, the value of x is -10.

Step-by-step explanation:

I hope you can please mark me as

7 0
3 years ago
What is 33 divided by 2244
olchik [2.2K]

Answer:

0.01470588235

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
What is 20% of 800, if 10% of 800 is 80?
r-ruslan [8.4K]

Answer:

160

Step-by-step explanation:

mark brainliest

have a great day

4 0
3 years ago
Read 2 more answers
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