All categories

3 years ago

How do I condense each expression?

Mathematics

1 answer:

Ksivusya [100]3 years ago

5 0

Answer:

$\log_5{\dfrac{x^5}{\sqrt[4]{8-x}}}$

Step-by-step explanation:

Make use of the rules of logarithms:

log(a/b) = log(a) - log(b)

log(a^b) = b·log(a)

$5\log_5{x}-\dfrac{1}{4}\log_5{(8-x)}=\log_5{x^5}-\log_5{\sqrt[4]{8-x}}=\log_5{\dfrac{x^5}{\sqrt[4]{8-x}}}$

You might be interested in

Which ratio represents the tangent of z

tangare [24]

It b

Nnsnsmsksksks

Msmmsmskskkskskkskskksksks

Sjsj

3 0

2 years ago

Given: △FKL, FK=a, m∠F=45°, m∠L=30° Find: FL

drek231 [11]

The best way to do this is to draw a picture of ΔFKL and include line segment KM that is perpendicular to FL. This creates ΔFKM which is a 45°-45°-90° triangle and ΔLKM which is a 30°-60°-90° triangle.

Find the lengths of FM and ML. Then, FM + ML = FL

FM

ΔFKM (45°-45°-90°): FK is the hypotenuse so FM = $\frac{a}{\sqrt{2}} = \frac{a\sqrt{2} }{2}$

ML

ΔLKM (30°-60°-90°): from ΔFKM, we know that KM = $\frac{a\sqrt{2} }{2}$ , so KL = $\frac{a}{\sqrt{6}} = \frac{a\sqrt{6} }{6}$

FM + ML = FL

$(\frac{3}{3})\frac{a\sqrt{2} }{2} + \frac{a\sqrt{6} }{6}$

= $\frac{3a\sqrt{2} + a\sqrt{6} }{6}$

8 0

3 years ago

Read 2 more answers

Brian was thinking of a number. Brian adds 3 then divides by 5 to get an answer of 18. Form an equation with x from the informat

maks197457 [2]

Answer:

$\frac{x + 3}{5} = 18$

6 0

3 years ago

graph the linear equation. find three points that solve the equation then plot on the graph. -3y=-x-6

jarptica [38.1K]

Answer : easy try yourself I hope you can

5 0

3 years ago

Y=4 horizontal yes or no

Serga [27]

Answer:

yes

Step-by-step explanation:

The equation of a horizontal line parallel to the x-axis is

y = c

where c is the value of the y- coordinates the line passes through

y = 4 is a horizontal line passing through all points with a y- coordinate of 4

4 0

3 years ago