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gavmur [86]
3 years ago
15

What is the solution to log4 8x=3?

Mathematics
2 answers:
Ivenika [448]3 years ago
6 0
Exponential form 4^3=8x
x =8
iragen [17]3 years ago
5 0

Answer:  The required solution is  x = 8.

Step-by-step explanation:  We are given to solve the following logarithmic equation:

\log_4{8x}=3.

We will be using the following logarithmic property in the solution:

\log_ab=c~~~~~\Rightarrow b=a^c.

The solution is as follows:

\log_4{8x}=3\\\\\Rightarrow 8x=4^3\\\\\Rightarrow 8x=64\\\\\Rightarrow x=\dfrac{64}{8}\\\\\Rightarrow x=8.

Thus, the required solution is  x = 8.

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Find the slope of the line through the points (4, 4) and (-1, 5).
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<span>We write pattern linear function
f(x) = ax + b

</span><span>Both points must be in one straight line so they can be used to lay the system of equations .
Points A=(4,4), B = (-1,5)
                x  y            x  y

</span>\left \{ {{f(x)=ax + b  (Point A)} \atop {f(x) = ax +b (PointB)}} \right.  \\  \\  \left \{ {{4 =a*4 + b} \atop {5=a*(-1)+b}} \right.  \\  \\  \left \{ {{b= 4 -4a} \atop {5 = -a + (4 - 4a)}} \right. \\  \\   \left \{ {{b = 4 - 4a} \atop {5 - 4 = - 5a }} \right.  \\  \\  \left \{ {{b = 4 - 4a} \atop {a = -  \frac{1}{5} }} \right.  \\  \\  \left \{ {{ b = 4 - 4*(- \frac{1}{5} )= 4 +  \frac{4}{5} = 4,8} \atop {a = -  \frac{1}{5} }} \right.

<span>We insert the calculated a and b in the equation f(x) = ax + b

</span>y = -  \frac{1}{5} x + 4,8

<span>Since a> 0, the function is decreasing</span>
4 0
3 years ago
Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why ABC~DE
12345 [234]

Answer:- B , C and F are the right options.


Explanation:-

1. HA cannot be a reason to show given triangles are congruent as it is not given that they have an acute angle common in both the triangles.

2. HL can be a reason to show given triangles are congruent as the triangles are right triangle with equal legs and hypotenuse.

3. SAS can be a reason to show given triangles are congruent as there are  two congruent sides in both triangles and included angles ∠A=∠D=90° [right angle].

4. LA cannot be a reason to show given triangles are congruent as it is not given that they have an acute angle common in both the triangles.

5. AAS  cannot be a reason to show given triangles are congruent as it is not given that they have two angles common in both the triangles.

6.SSS can be a reason to show given triangles are congruent as it is shown that all the sides of one triangle is congruent to the other.

8 0
3 years ago
Read 2 more answers
Identify the terms,like terms,coefficient and constants
BartSMP [9]
Terms: -4j, -2, -5j, 6
Like Terms: -4j and -5j, -2 and 6
Coefficients: -4, -5
Constants: -2, 6
6 0
3 years ago
Help help help me<br> please
Anna35 [415]
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the first choice is correct. 
4 0
3 years ago
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AlladinOne [14]

Answer:

22 pi cm    ( 69.12 cm)

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3 0
1 year ago
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