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3 years ago

1+log2=log(x+1) I know that x=19 but how do you get 19?

Mathematics

1 answer:

ycow [4]3 years ago

4 0

Step-by-step explanation:

Recall that $\log 10 = 1$ so we can rewrite the equation above as

$\log 10 + \log 2 = \log (x + 1)$

Also recall that $\log(ab) = \log a + \log b$ so the left-hand side becomes

$\log [(10)(2)] = \log (x + 1)$

$20 = x + 1 \Rightarrow x = 19$

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Solve the following equations by completing the square. x2 + 4x = 21

Rom4ik [11]

Answer:

x = 3 or -7

Step-by-step explanation:

Recall that for a quadratic equation in the form:

Ax² + Bx = C

we need to add (B/2)² to both sides of the equation to

In our case, we are given:

x² + 4x = 21

compared to the general equation above, B = 4, hence we need to add (4/2)² to both sides

x² + 4x = 21 (complete the square)

x² + 4x + (4/2)² = 21 + (4/2)²

x² + 4x + 2² = 21 + 2²

(x+ 2)² = 21 + 4

(x+ 2)² = 25 (take square root of both sides)

(x+2) = ±√25

(x+2) = ±5

hence

(x+2) = +5----> x = 5 - 2 = 3 (answer)

(x+2) = -5 ----> x = -5 - 2 = -7(answer)

5 0

3 years ago

A rectangle has dimensions of 3 feet by 1 foot. What is the length of the diagonal of the

Andreyy89

Answer:

Step-by-step explanation:

3^2 + 1^2 = c^2 (diagonal squared)

9 + 1 = c^2

10 = c*2

$\sqrt{10}$ is the length

It is irrational because the decimal repeats forever

6 0

2 years ago

Joey enter the Hot Dog Eating competition. He ate 30 1 / 2 hot dogs and 3 3 / 4 minutes. How many hot dogs did he eat in one min

VikaD [51]

(30 1/2) / (3 3/4) =
(61/2) / (15/4) =
61/2 * 4/15 =
122/15 =
8 2/15 hot dogs were eaten in 1 minute <==

8 0

3 years ago

Solve 8x + c = k for x.

alex41 [277]

Answer: $x=\frac{c-k}{8}$

Step-by-step explanation:

$1) \text { } 8x+c=k \text{ (given)}\\\\2) \text { }8x=c-k \text{ (subtract } k \text{ from both sides)}\\\\3) \text { } \boxed{x=\frac{c-k}{8}} \text{ (divide both sides by 8)}$

8 0

2 years ago

What are the zeros for both functions

sammy [17]

Answer:

the zero of a function is the value of x which makes the final value zero

First Equation:

So let 25 - 2x equal to 0

25 - 2x = 0

x = 12.5

Second Equation:

Let 2x² - 11x - 6 equal to zero

2x² - 11x - 6 = 0

2x² - 12x + x - 6 = 0 (Splitting the middle term)

2x(x - 6) + 1(x - 6) = 0

(2x + 1) (x - 6) = 0

So we can transpose either one of the brackets below the zero

(2x + 1) = 0 or (x-6) = 0

x = -1/2 or x = 6

5 0

4 years ago