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galina1969 [7]
3 years ago
7

Use properties of logarithms to condense the logarithmic expression. write the expression as a single logarithm whose coefficien

t is 1. where​ possible, evaluate logarithmic expressions. log(4x+5)-log(x)
Mathematics
2 answers:
FromTheMoon [43]3 years ago
5 0

We can use the quotient rule [ \text{log}_a\frac{x}{y} = \text{log}_ax-\text{log}_ay ] to simplify

\text{log}(4x + 5) - \text{log}(x)\\\text{log}(\frac{4x+5}{x})\\\text{log}(4+\frac{5}{x})

Best of Luck!

Kitty [74]3 years ago
4 0
\log\left( \frac{4x + 5}{x} \right) = \log(4 + \frac{5}{x})
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Molly had a $12 gift card to download music. She bought 8 songs that each cost the same amount. Write a variable equation, then
inn [45]

Answer:

1.Equation ----- 8x=12

2. x=1.5

3. cost of a single song is $1.5

4.$12 gift card will download 8 songs

Step-by-step explanation:

The amount of money the gift card holds is $12

Number of songs bought= 8 songs

Let the cost of a single song to be =$x

The cost of 8 songs will be =$x × 8=$ 8x

So the 8 songs will all cost $12

This means; $ 8x = $12

Equation------ 8x=12

Finding cost of a single song

8x=12------------------divide by 8 both sides

x=12/8------------------simplify

x=3/2 = $ 1.5

Checking for solution

if a single song costs $1.5 , who many songs can a gift card with $12 download?

Here we divide $12 by $1.5 = $12/$1.5= 8 songs------------correct number of songs as mentioned in the question.

7 0
3 years ago
Solve for x. 0=65892.56*x^(-1.67)
scoundrel [369]
0=65892.56\cdot x^{-1.67}

It would seem the only solution is 0, but x^{-1.67}=\frac{1}{x^{1.67}} and the denominator of the fraction can't be equal zero, therefore there's no solution.
3 0
3 years ago
Can some help me?Its due tonight lol
kramer
Answer:

Alright angle b, d, and f are congruent to the 70 degree angle, or in other words the same. Subtract 70 from 180 and you get 110 or the sum of each remaining angles degrees. So angles a, c, g, and e are all 110 degrees.
5 0
3 years ago
What is the answer to this 14-2y=​
yaroslaw [1]

Answer:

y=7

Step-by-step explanation:

Assuming that the equation is 14-2y=0

We need to isolate 'y' variable to obtain its value, to do that, lets start by subtracting -14 to both sides of equality sign,

14-2y=0 is now this: 14-14-2y=0-14, which is equals to -2y=-14

Now, lets continue by dividing by -2 both sides of equality sign.

We have this

-2y/-2=-14/-2

y=7

Thus, we've obtained the value for 'y' variable

4 0
3 years ago
Urgent!!! please help!!
serious [3.7K]

Answer:

can you please tell me what grade you're in like

what is

7 0
3 years ago
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