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AleksandrR [38]
4 years ago
6

Solve for X 8^3x-10 =4^6x-27 Thanks in advance!

Mathematics
1 answer:
dlinn [17]4 years ago
6 0

8^{3x-10}=4^{6x-27}\\\\(2^3)^{3x-10}=(2^2)^{6x-27}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(3x-10)}=2^{2(6x-27)}\qquad\text{use distributive property}\\\\2^{(3)(3x)+(3)(-10)}=2^{(2)(6x)+(2)(-27)}\\\\2^{9x-30}=2^{12x-54}\iff9x-30=12x-54\qquad\text{add 30 to both sides}\\\\9x=12x-24\qquad\text{subtract 12x from both sides}\\\\-3x=-24\qquad\text{divide both sides by (-3)}\\\\\boxed{x=8}

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Answer:side one is 8cm

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Step-by-step explanation:

The perimeter of a shape is the distance around the shape. The perimeter of a triangle is the sum of the sides of the triangle.

Let x represent the length of side one and side 2. Since they have equal length, the sum of their length is x + x = 2x cm

Side three is one cm shorter then twice the length of side one. This means that the length of side three would be 2x - 1

The perimeter of a triangle is 31cm. Therefore,

2x + 2x - 1 = 31

4x - 1 = 31

4x = 31 + 1 = 32

x = 32/4 = 8 cm

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