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2 years ago

What is the solution to the equation 14 ^ (x + 3) = 21?

Mathematics

2 answers:

Rina8888 [55]2 years ago

8 0

The answer to your question is b

sukhopar [10]2 years ago

5 0

$\bf 14^{x+3}=21\implies log(14^{x+3})=log(21)\implies (x+3)log(14)=log(21)
\\\\\\
x+3=\cfrac{log(21)}{log(14)}\implies x=\cfrac{log(21)}{log(14)}-3$

and surely you'd know what that is.

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kondaur [170]

A digit is a number in one of the places, so for example the number 54 has two digits; a tens place digit (5) and a ones place digit (4).

Say the mystery number is a two digit number = xy
* that's not x times y but two side by side digits.

Info given:
the sum of the digits of a two-digit number is 6
x + y = 6 
if the digits are reversed, yx the difference between the new number and the original number is 18.

**To obtain the number from digits you must multiply by the place and add the digits up. (Example: 54 = 10(5) + 1(4))

Original number = 10x + y
Reversed/New number = 10y + x

Difference:
10y + x - (10x + y) = 18
9y - 9x = 18
9(y - x) = 18
y - x = 18/9
y - x = 2

Now we have two equations in two variables
y - x = 2
x + y = 6

Re-write one in terms of one variable for substitution.
y = 2 + x
sub in to the other equation to combine them.
x + (2 + x) = 6
2x + 2 = 6
2x = 6 - 2
2x = 4
x = 2

That's the tens digit for the original number. Plug this value into either of the equations to obtain y, the ones digit.

2 + y = 6
y = 4

number "xy" = 24

4 0

2 years ago

20. Simplify: 4×^3√3x+5 ^3√10x

Elenna [48]

5∛(10)∛(x)+4∛(3)∛(x)
But in the comments you wrote the choices and none of them match with the answer i got. so i would say its B

7 0

3 years ago

Please help quicklyyy!!!

Fiesta28 [93]

Answer:

Its the 3 one

Step-by-step explanation:

7 0

3 years ago

Multiply. Write your answer in scientific notation. (2 x 10^7) (1 x 10^7)

loris [4]

2 x 10exponent 14 I think

7 0

2 years ago

SERIOULSLY WOULD SOMEONE JUST HELP ME WITH THESE QUESTIONS FOR ONCE? BY THAT I MEAN NOT ONLY ANSWER 23 AND 22 ALSO 24, 25, 26,27

Fantom [35]

Answer:

Step-by-step explanation:

22. √125 is closer to √121 or 11

23. √23.5 is closer to √25 or 5

24. ∛59 is closer to ∛64 or 4 (cubed)

(4 cubed = 64, 3 cubed = 27)

25. ∛430 is closer to ∛512 or 8

(512 - 430 = 82

430- 343= 87)

26. y² = 55 is equal to y = √55, Closer to √49 or 7

27. d² = 95 is equal to d = √95, Closer to √100 or 10

28. p² = 6.8 is equal to p = √6.8, Closer to √9 or 3

29. ∛210 is closer to ∛216 or 6 (cubed)

30. ∛520 is closer to ∛512 or 8 (cubed)

4 0

3 years ago