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1 year ago

Solve each equation . 4^3x-3= 8^4x-4

Mathematics

1 answer:

Feliz [49]1 year ago

7 0

Answer:

x = 1

Explanation:

To solve for x in the equation,

$4^{3x-3}=8^{4x-4}$

We write each side as

$\begin{gathered} 4^{3x-3}=(2^2)^{3x-3} \\ 8^{4x-4}=\mleft(2^3\mright)^{\mleft\{4x-4\mright\}} \end{gathered}$

which gives

$(2^2)^{3x-3}=(2^3)^{\{4x-4\}}$

Now, using the property that

$(A^x)^y=A^{xy}$

we rewrite the above as

$2^{2(3x-3)}=2^{3\{4x-4\}}$

Which implies

$2(3x-3)=3(4x-4)_{}$

Expanding the equation gives

$6x-6=12x-12$

Adding 6 to both sides gives

$6x=12x-12+6$ $6x=12x-6$

subtracting 12x from both sides gives

$6x-12x=-6$ $-6x=-6$

Finally, dividing both sides by -6 gives

$x=1$

which is our answer!

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Answer:

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Step-by-step explanation:

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(If A(2, -3), B(3,-2) and point C divides the line segment AB in the ratio of 1: 2, find OC.)

Anna007 [38]

Answer:

A(2, -3) and B(3, -2), o(0, 0) Let C(x, y)

Here c divide AB line in the ratio of 1:2

From the line intersection law, we get x=(m1×x2+m2×x1)/(m1+m2)

and y=(m1×y2+m2×y1)/(m1+m2)

where m1=1, m2=2, x1=2, x2=3, y1=-3, y2=-2;

so x=(3+4)/3

or, x=7/3;

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1 year ago

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Amanda [17]

Answer:

Fibonacci Series has been explained and the general term and shortcut to find the corresponding term has been attached

Step-by-step explanation:

Fibonnaci is a beautiful series in mathematics where the term in the series is the sum of the previous two terms of the corresponding term in the series.

Its general form is denoted by

$X_{n} =X_{n-1}+X_{n-2}$ ,

where $X_{n}$ represents the $n^{th}$ of the Fibonnaci series.

The special thing about the Fibonacci series is that the more number of terms we proceed the ratio of the two consecutive term comes closer to the value of the Golden Ratio(φ) whose value is 1.618034.

But there is another method to find out the terms of the the Fibonacci series, which takes into account the value of φ. The formula for the following is as follows