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Studentka2010 [4]
3 years ago
13

8) Solve 4^(x - 2)= 8^6 A)5 B)8 C)10 D)11

Mathematics
2 answers:
meriva3 years ago
5 0

Answer: OPTION D

Step-by-step explanation:

You need to remember the following:

a^x=a^y\\x=y

 Then, you must descompose 4 and 8 into their prime factors:

4=2*2=2^2\\8=2*2*2=2^3

Rewriting the expression:

2^{2(x-2)}=2^{3(6)}

Now you get:

2(x-2)=3(6)

Finally, you must solve for the variable "x".

Therefore, you get the following result:

2x-4=18\\2x=22\\x=11

myrzilka [38]3 years ago
3 0

For this case we have the following equation:

4 ^ {(x-2)} = 8 ^ 6

We must create equivalent expressions in the equation, so that they have equal bases:

2 ^ {2 * (x-2)} = 2 ^ {3 * 6}

If the bases are the same, then the two expressions are only equal if the exponents are equal:

2 (x-2) = 3 * 6\\2 (x-2) = 18\\2x-4 = 18\\2x = 18 + 4\\2x = 22\\x = \frac {22} {2}\\x = 11

Answer:

x = 11

Option D

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3 years ago
For the given values of n and d, find integers q and r such that n = dq + r and 0 ≤ r < d. n = −67, d = 8
Firlakuza [10]

Answer:

q = 8

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Step-by-step explanation:

Given

n = dq + r

0 \le r < d

n = 67 --- not -67

d = 8

Required

Find q and r

Substitute values for d and b

n = dq + r

67 = 8 * q + r

67 = 8q + r

Make q the subject

q = \frac{67 - r}{8}

0 \le r < d means that r is less than 8 but greater than or equal to 0

And r and q are integers.

Let r = 3

q = \frac{67 - 3}{8}

q = \frac{64}{8}

q = 8

No other true values of r and q can be gotten.

7 0
3 years ago
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yKpoI14uk [10]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
Read 2 more answers
Graph the function g(x) = 1/3 - 4/3x
True [87]
                                                        Solutions 

                          g(x) = \frac{1}{3} - \frac{4}{3} x 

                          g(x) = - <span>\frac{4}{3} x + \frac{1}{3} 

                           x = -5 

                           = </span>g(x) = - \frac{4}{3} × (-5) + <span>\frac{1}{3} 
</span>
                           = \frac{20}{3} + <span>\frac{1}{3} 
</span>
                           = \frac{21}{3} 

                           = 7 

(-5,7)

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

           x = 7 

                    = g(x) = - \frac{4}{3} × (7) +  <span>\frac{1}{3}  
</span>
                    = \frac{-28}{3} + <span>\frac{1}{3}   
</span>
                   = \frac{-27}{3} = -9 

                   (-7,9) 

x = (-7,9)       y = <span>(-5,7)</span>



6 0
3 years ago
PLEASE HELP I WILL GIVE BRAINALIST
RideAnS [48]

Answer:

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Step-by-step explanation:

please give brainliest

3 0
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