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2 years ago

7

What is 54 in the ratio 5:11:2

1 answer:

qwelly [4]2 years ago

6 0

5/22 I’m pretty that’s the answer

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Solve for x given that <br><img src="https://tex.z-dn.net/?f=%20%7B64%7D%5E%7B2x%20-%201%7D%20%3D%20%20%7B32%7D%5E%7Bx%20%2B%201

marissa [1.9K]

Answer:

x = $\frac{11}{7}$

Step-by-step explanation:

note that 64 = $2^{6}$ and 32 = $2^{5}$ , thus

$(2^{6}) ^{2x-1}$ = $(2^{5}) ^{x+1}$ , that is

$2^{6(2x-1)}$ = $2^{5(x+1)}$

$2^{12x-6}$ = $2^{5x+5}$

Since the bases on both sides are equal, then equate the exponents

12x - 6 = 5x + 5 ( subtract 5x from both sides )

7x - 6 = 5 ( add 6 to both sides )

7x = 11 ( divide both sides by 7 )

x = $\frac{11}{7}$

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