How do you get the same base for the power

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

7 0

64 = 2 ^6
16 = 2^4 =

2^ 6*(2x+4) = 2^4 * 5x

6(2x+4) = 20x

10/3 x = 2x +4

4/3 x = 4

x = 3

you can also use logarithms like so

(2x+4)ln64 = 5x ln16

ln64/ln16 = 3/2

3/2 * 2x + 3/2 * 4 = 5x

3x + 6 = 5x

2x = 6

x = 3

You might be interested in

A weight of 270 pounds falls

beks73 [17]

Answer:

240

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The GCF of 14 and 35 is _____.

shusha [124]

Answer:

Step-by-step explanation:

7x2=14

5x7=35

3 0

3 years ago

Read 2 more answers

What’s 2+2 HMU I’m bored

goblinko [34]

Answer:

4 and me too

Step-by-step explanation:

8 0

3 years ago

3x+6/x^2-x-6+2x/x^2+x-12

Tanzania [10]

$\dfrac{3x+6}{x^2-x-6} + \dfrac{2x}{x^2+x-12}$

$= \dfrac{3(x+2)}{(x + 2)(x - 3)} + \dfrac{2x}{ (x - 3)(x + 4)}$

$= \dfrac{3}{(x - 3)} + \dfrac{2x}{ (x -3)(x + 4)}$

$= \dfrac{3(x+4)}{(x - 3)(x + 4)} + \dfrac{2x}{ (x -3 )(x + 4)}$

$= \dfrac{3(x+4) + 2x }{(x - 3)(x + 4)}$

$= \dfrac{3x+12 + 2x }{(x - 3)(x + 4)}$

$= \dfrac{5x+12}{(x - 3)(x + 4)}$

6 0

3 years ago

Kirsten invested $2000 into a CD with a 5% annual interest rate.

LenKa [72]

What do you wanna know?

The annual interest rate is 2000•0,05=100

The new price you have to pay is 2000•1.05 (change factor)

5 0

3 years ago