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IrinaK [193]
2 years ago
6

Solve each logarithmic equation. Round your answer to two decimal places.

Mathematics
2 answers:
olchik [2.2K]2 years ago
6 0

Answer:

  • x = 2

Step-by-step explanation:

Given equation

  • log_416=x

Use the property of logarithm

  • log_ab=c ⇒ b = a^c

Apply to the given equation

  • 16 = 4^x
  • 4^2=4^x
  • 2 = x
  • x=2
irga5000 [103]2 years ago
3 0

Let's see

\\ \rm\Rrightarrow log_416=x

\\ \rm\Rrightarrow 16=4^x

\\ \rm\Rrightarrow 4²=4^x

\\ \rm\Rrightarrow x=2

Done!

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One ball is drawn from a bag containing 4 red balls numbered 1–4 and 10 white balls numbered 5–14. Find the following probabilit
omeli [17]

Step-by-step explanation:

9 in total numbers can't be divided by 3...

therefore your probability will be = 9/14

= 0.64

8 0
2 years ago
Annie invests £9500 for 5 years in a savings account. She gets 1.8% per annum compound interest. How much money does Annie have
Trava [24]

Answer:

£10386.34

Step-by-step explanation:

The amount in an account for a principal P saved at compound interest for a period of n years at an annual rate of r% is calculated using the formula:

A(n)=P(1+r)^n

In this case:

Principal, P=£9500

r=1.8%=0.018

n=5 years

Therefore:

A(5)=9500(1+0.018)^5\\=9500(1.018)^5\\=\£10386.34

At the end of 5 years, Annie will have £10386.34

7 0
2 years ago
Look at the following expression. Are there any values of x for which the expression is not defined under the set of real number
almond37 [142]

The expression \frac{4}{\sqrt{x+2} } is not defined at x= -2 & for all values of x  less than -2 .

<u>Step-by-step explanation:</u>

We have , a given expression as \frac{4}{\sqrt{x+2} } : Basically we need to find domain for this function and see for which values of x the above function is undefined . Domain of a function is the set of values of x for which the function is defined . We have a rational expression, \frac{4}{\sqrt{x+2} }  it's a fractional function which means denominator can be 0 . Denominator = \sqrt{x+2} \neq 0

⇒ \sqrt{x+2} \neq 0

⇒ x+2\neq 0

⇒ x \neq  -2

So , x \neq  -2 . Also , Denominator is a square root expression so it can't be negative inside root ∴ x+2 > 0 ⇒ x> -2 i.e. x must be greater than -2.

Therefore, the expression \frac{4}{\sqrt{x+2} } is not defined at x= -2 & for all values of x  less than -2 .

4 0
3 years ago
Please help if you think you can
Angelina_Jolie [31]

Answer:

-32x-22y

Step-by-step explanation:

4x + 2y - 6(6x - 4y)

Use distributive property

4x + 2y - <u>6(6x - 4y)</u>

4x + 2y - 36x -24y

-32x-22y

8 0
3 years ago
Read 2 more answers
Please help 1-9 {30 points + brainlist}
kipiarov [429]

Answer:

1. 3.4

2. 23.4

3. 8

4. 14.25

5. 9.6

6. 6

7. 25

8. 28.8

9. 1.35

I hope this is the right answer key

Step-by-step explanation:

3 0
3 years ago
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