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3 years ago

How to solve 7^x+1 = 32 step by step

Mathematics

2 answers:

denpristay [2]3 years ago

6 0

Answer:

4.42

Step-by-step explanation:

32-1=31

7x?=31

4.42

pogonyaev3 years ago

3 0

Answer:

$7^{x} + 1 = 32\\7^{x} = 32 - 1 \\7^{x} = 31\\log_{7} 31 = x\\x = 1.764720332$

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3 years ago

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3 years ago

X^2-8x+16=5 what are the solutions?

svp [43]

Hey!

The first step to solving this equation would be to subtract 5 from both sides of the equation.

Original Equation :
$x^{2}$ - 8x + 16 = 5

New Equation {Added Subtract 5 to Both Sides} :
$x^{2}$ - 8x + 16 - 5 = 5 - 5

Now we solve our new equation.

Old Equation :
$x^{2}$ - 8x + 16 - 5 = 5 - 5

Solution {Old Equation Solved} :
$x^{2}$ - 8x + 11 = 0

The next step would be to solve with the quadratic formula.

Quadratic Equation ( 1 ) :
$x = \frac{-(-8) + \sqrt{(-8)^{2} -4 * 1 * 11 } }{2*1}$

Quadratic Equation ( 1 ) {Solved} :
4 + $\sqrt{5}$

Quadratic Equation ( 2 ) :
$x = \frac{-(-8) - \sqrt{(-8)^{2}-4 *1*11 } }{2*1}$

Quadratic Equation ( 2 ) {Solved} :
4 - $\sqrt{5}$

So, our final solutions for the equation $x^{2}$ - 8x + 16 = 5 are...

x = 4 + $\sqrt{5}$

and 

x = 4 - $\sqrt{5}$

Hope this helps!

- Lindsey Frazier ♥

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3 years ago

The nth term of 17,29,41,53,65

s2008m [1.1K]

Answer:

12n+5

Step-by-step explanation:

The difference is 12 so that means n is 12 and the +5 is what the number in the sequence is before 17

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3 years ago