3 years ago

Select the solution(s) of log2x=1−log(x+4).

Mathematics

1 answer:

mart [117]3 years ago

7 0

Step-by-step explanation:

log2x = 1 - log(x+4)

log2x = log10 - log(x+4)

log2x = log[10/(x+4)]

2x = 10/(x+4)

2x(x+4) = 10

2x² + 8x - 10 = 0

÷2 both sides of equation

x² + 4x - 5 = 0

(x+5)(x-1) = 0

x = -5, 1

x isn't be -5 because logA, A need to be > 0

So, x value is 1

You might be interested in

Suppose you invest a certain amount of money in account that earns 3% annual interest. You also invest that same amount + $2000

Greeley [361]

First account: $6500
Second account: $8500

Set x is amount of money in first account
=> x + 2000 is money in second account.
X*3% + (x+2000)*4% = 535
=> x = (53500 - 8000) / 7
X = 45500 / 7 = 6500
=> account #1 = x = 6500
Acc #2 = x + 2000 = 6500 + 2000 = 8500

8 0

3 years ago

Write the phrase as a rate in simplest form. $406 for 38 pieces

Anna71 [15]

Answer:

Rate will be $10.68/-

Step-by-step explanation:

For 38 pieces we have price $406

For 1 piece= 406/38 = 10.68

The rate will be $10.68/-

6 0

3 years ago

Read 2 more answers

Your parents gave you a gift card for your favorite coffee shop. The card was worth $50

meriva

Answer:

y=-3x+50

Step-by-step explanation:

y=50-3x ,where x is number of days.

6 0

3 years ago

One solution to a quadratic equation is 4 - 5i. Find the equation.

marishachu [46]

Answer:

The answer would be Equation B:

x2 - 8x + 41

Step-by-step explanation:

4 0

3 years ago

Will vote

tia_tia [17]

The answer is 1 to 3

6 0

3 years ago