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4 years ago

SOLVE 6^3^-X=6^2 FOR X A.X=-6B.X=1C.X=-1D.X=9

Mathematics

1 answer:

Murrr4er [49]4 years ago

6 0

<h3>Answer: Choice B) x = 1</h3>

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Explanation:

The problem should read 6^(3-x) = 6^2. The 3-x must be in parenthesis to indicate that all of "3-x" is in the exponent and not just the 3.

Because both bases are 6, and because both sides are equal, this means that the exponents must be equal as well. Therefore 3-x = 2. Let's solve for x

3-x = 2

3-x+x = 2+x .... adding x to both sides

3 = 2+x

2+x = 3 ..... flipping both sides

x+2 = 3

x+2-2 = 3-2 .... subtracting 2 from both sides

You can use logarithms to solve this problem, but the fact that the bases are both the same allows us to use this faster shortcut.

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3 years ago

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Lady bird [3.3K]

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$y = -2x +10$

Step-by-step explanation:

1) First, we need to find the slope of the given equation. To do that easily, convert it to slope-intercept form, represented by the formula $y = mx + b$ . Isolate y:

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$y = mx +b\\6 = (-2)(2)+b\\6 = -4 + b\\10 = b$

So, $b$ = 10.

3) Substitute values for $b$ and $m$ into the slope-intercept formula to write the slope-intercept form of the line:

$y = -2x +10$

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SOLVE 6^3^-X=6^2 FOR X A.X=-6B.X=1C.X=-1D.X=9​

SOLVE 6^3^-X=6^2 FOR X A.X=-6B.X=1C.X=-1D.X=9