Help with this-- math? algebra? geometry???

Keisha is solving the equation 7 to the power of x equals 9. Which equation shows the first step she should take?

Lerok [7]

Answer:

The correct answers are:

Question 4: the first step Keisha should take is: log to the power of x equals log 9.

Question 5: step 4 could be n ln 2 equals ln 86

Question 6: the exact solution is x=ln(7)

Step-by-step explanation:

Ok,

Question 4: the equation that shows the first step Keisha should take is:

$7^{x}=9$

$log(7^{x} )=log(9)$

$x(log(7))=log(9)$ (applying the properties of logarithms)

$x=\frac{log(9)}{log(7)} =1.129$

Solution: the first step Keisha should take is: log to the power of x equals log 9.

Question 5: Her first three steps are:

$2^{n}-3=83$

$2^{n}-3+3=83+3$ (adding 3 to both sides)

$2^{n}=86$

$2^{n}-3+3=83+3$

$nln(2)=ln(86)$

Solution: step 4 is: $nln(2)=ln(86)$ (applying the properties of logarithms)

Question 6: The exact solution of 2 e to the power of x equals 14 is:

$2e^{x}=14$

$\frac{2e^{x} }{2} =\frac{14}{2}$ (dividing both sides by 2)

$e^{x}=7$

$xln(e)=ln7$ (ln(e)=1)

$x=ln(7)$

Solution: $x=ln(7)$

8 0

2 years ago

You and your brother are reading the same novel. You want to get ahead of him in the book, so you decide to read 303030 minutes

ddd [48]

You will read for 45 minutes if your brother reads for 15 minutes.

Explanation

You decide to read 30 minutes longer than your brother reads.

If your brother reads $x$ number of minutes, then 30 minutes longer than $x$ minutes means $(x+30)$ minutes.

As the number of minutes you read is $y$ , so the equation will be: $y= x+30$

When your brother reads for 15 minutes, then we will just plug $x=15$ into the above equation. So.....

$y=15+30= 45$

So, you will read for 45 minutes if your brother reads for 15 minutes.

7 0

2 years ago

Read 2 more answers

Write an expression for the operation described below. the product of q and 2

satela [25.4K]

Answer:

q*2=14 hope that this helped

Step-by-step explanation:

since product commonly mean multiplication, then you would have to make sure that q is multiplied to 2 and then provide the actual "product" of your expression or you could also just put 2q.

6 0

2 years ago

Is (0,1) , (1,3) , (2,5), (3,7) a function?

igomit [66]

Answer:

9

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the molar solubility of magnesium fluoride in a solution that is 0.40 m f− ions? the ksp of mgf2 is 6.4 × 10−9. hints wh

velikii [3]

Answer: MgF2 ====â‡’ Mg+2 + 2F- Ksp = [Mg+2][F-]^2 Let S = molar solubility of MgF2 [Mg+2] = S ; [F-] = 2s Since the [F-] is initially 0.40 M, then [F-] = 0.40 + 2S 6.4 x 10^-9 = (S) (0.40 + 2S)^2 ; one can neglect the 2S in the 0.40 + 2S expression since it is very, very small compared to the 0.40 already present. 6.4 x 10^-9 = S(0.40)^2 S = 4.0 x 10^-8 Molar solubility = 4.0 x 10^-8

6 0

3 years ago