Write the expression as a sum and/or a difference of logarithms, with all variables to the first degree.

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

7 0

Answer:

ln 2 + 2 ln x + 8 ln y

Step-by-step explanation:

Use of properties

log ab = log a + log b
log a^b = b log a

Given expression

In 2x^2y^8

Simplifying

In 2x^2y^8 =
ln 2 + ln x^2 + ln y^8 =
ln 2 + 2 ln x + 8 ln y

You might be interested in

Factor the trinomial 5x2+16x+12

lorasvet [3.4K]

Answer:

hey it's your answer......

3 0

3 years ago

Write the ratio as a fraction in the lowest terms 17 minutes to 3 hours

Kryger [21]

We know that there are 60 minutes in an hour, so to get the ratio to equal terms, we could multiply 60 by 3 to find the number of minutes in 3 hours, which is 90. Now the ratio is 17 minutes to 90 minutes. I'm pretty sure this is the lowest terms, but if they want you to convert it to seconds or something, you would multiply 17 by 60 for the first number and 90 by 60 for the second number. Hope this helps!

8 0

3 years ago

Simplify the expression 49<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20" id="TexFormula1" title=" \frac{1}{

dimaraw [331]

To convert a mixed fraction into an improper fraction:

$a\frac{b}{c} =\frac{(a\cdot c)+b}{c}$

$49 \frac{1}{2} = \frac{(49\cdot 2)+1}{2} = \frac{98 +1}{2} = \boxed{\bf{\frac{99}{2}}}$

8 0

3 years ago

How do you work out 9/10 divided by 6/7??

Helga [31]

$\frac{9}{10} \div \frac{6}{7}$
You just flip 6/7 so it would be 7/6 and then you times it.
$\frac{9}{10} \div \frac{6}{7}$
$\frac{9}{10} \times \frac{7}{6} = \frac{63}{60} = \frac{21}{20}$

6 0

3 years ago

What value of x satisfies

LenaWriter [7]

Answer:

See explanation

Step-by-step explanation:

The given trigonometric equation is $cos(90-x)=-\frac{\sqrt{3} }{3}$ .