All categories

3 years ago

If 32^2c=8^c what is the value of c? 1 2 3 5

Mathematics

1 answer:

Elina [12.6K]3 years ago

7 0

Answer:

as written, c ≈ 0.000979 or c = 4
alternate interpretation: c = 0

Step-by-step explanation:

<em>As written</em>, you have an equation that cannot be solved algebraically.

(32^2)c = 8^c

1024c = 8^c

1024c -8^c = 0 . . . . . . rewrite as an expression compared to zero

A graphical solution shows two values for c: {0.000978551672551, 4}. We presume you're interested in c = 4.

___

If you mean ...

32^(2c) = 8^c

(2^5)^(2c) = (2^3)^c . . . . rewriting as powers of 2

2^(10c) = 2^(3c) . . . . . . . simplify

10c = 3c . . . . . . . . . . . . . .log base 2

7c = 0 . . . . . . . . . . . . . . . subtract 3c

c = 0 . . . . . . . . . . . . . . . . divide by 7

You might be interested in

Perpendicular and Angle bisectors

Stels [109]

The answer is 8, because CA and BC are equal

3 0

3 years ago

Can y’all please help me question 13-14 ?!

slamgirl [31]

13. A=(-1,3) 14.m= (-4,1)

8 0

3 years ago

Just Need A Few Questions Answered To Finish My Quiz, Any Help Would Be Much Appreciated.

kvv77 [185]

Given the triangle

PQR

with points

P(8,0)

Q(6,2)

R(-2,-4)

And the triangle

P'Q'R'

with points

P'(4,0)

Q'(3,1)

R'(-1,-2)

Part A. Scale factor

Using the vertex

P( 8, 0)

P'(4,0)

the dilatation factor is given by

$\frac{4}{8}=\frac{1}{2}$

The triangle has a dilatation factor of 1/2

Part B:

P''Q''R'' after using P'Q'R' reflected about the y axis

to make a reflection over the y axis

coordinates (x,y) turn into coordinates (-x,y)

as follows

$P^{\prime}(4,0)\rightarrow P^{\prime\prime}(-4,0)$ $Q^{\prime}(3,1)\rightarrow Q^{\prime\prime}(-3,1)$ $R^{\prime}(-1,-2)\rightarrow R^{\prime\prime}(1,-2)$

Then triangle P''Q''R'' has coordinates

P''(-4,0)

Q''(-3,1)

R''(1,-2)

Part C:

PQR is congruent to P''Q''R''?

Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.

Then the triangles are not congruent