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4 years ago

Solve for x in the equation X^2-16^x=0

Mathematics

1 answer:

shtirl [24]4 years ago

5 0

Answer:

-1/2

Step-by-step explanation:

x^2- 16^x = 0
x^2 = 16^x
x^2 = 4^2x
x = 4^x
logx = xlog4
1/x×logx = log4
log(x^1/x) = log4
x^(1/x) = 4

At this point you can guess and try. And it seems that x = -1/2, lets check:

(-1/2)^(1 /-1/2)= (-1/2)^-2= 2^2= 4

So, this is correct: x= -1/2

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Type a simplified fraction as an answer. PLEASE ANSWER ASAP!!!!

xxTIMURxx [149]

Answer:

0.06944444444 as a fraction equals 6944444444/100000000000

6 0

3 years ago

Given that f(x) = 13x2 + 156, find x. A) x = ±2i 3 B) x = ±2i 6 C) x = ±3i 5 D) x = ±3i 6

mamaluj [8]

Answer:

A) x = ±2i√3

Step-by-step explanation:

We presume you want to find x such that f(x) = 0.

Divide by 13:

x² + 12 = 0

Subtract 12:

x² = -12

Take the square root:

x = ±i√12 = ±2i√3

3 0

3 years ago

What value of x is in the solution set of -5x - 15 > 10 + 20x?

Georgia [21]

Answer:

-1>x

Step-by-step explanation:

-5x - 15 > 10 + 20x

Add 5x to each side

-5x+5x - 15 > 10 + 20x+5x

-15> 10+25x

Subtract 10 from each side

-10 - 15 > 10-10 + 25x

-25> 25x

Divide each side by 25

-25/25> 25x/25

-1>x

3 0

4 years ago

The RATIO of corresponding sides of two similar polygons is called the _________ _____________.

pentagon [3]

Answer:

If two polygons are similar, then the ratio of the lengths of any two corresponding sides is called the scale factor. This means that the ratio of all parts of a polygon is the same as the ratio of the sides.

Step-by-step explanation:

SCALE FACTOR

6 0

3 years ago

Find the solution of the system x′=−4y,y′=−2x, where primes indicate derivatives with respect to t, that satisfies the initial c

Andreas93 [3]

Answer: $2y^2 = x^2+4$

Step-by-step explanation:

given is a differntial equation in parametric form as

$x'=-4y\\y'=-2x$

We can find dy/dx by dividing y' by x'

$\frac{dy}{dx} =\frac{-2x}{-4y} \\4ydy =2x dx\\2y^2 = x^2+C$

(By separating the variables and integrating)

C is arbitrary constant

When x=-2, y =-2

Substitute to get

$8=4+C\\C=4$

So solutoin is

$2y^2 = x^2+4$

is the solution

5 0

3 years ago