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2 years ago

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

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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:

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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

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4. 14.25

5. 9.6

6. 6

7. 25

8. 28.8

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I hope this is the right answer key

Step-by-step explanation:

3 0

3 years ago