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4 years ago

What is the solution to the equation below?3log_4x=log_43 2+log_4 2

1 answer:

6 0

$\frac{3\log _4\left(x\right)}{3}=\frac{\log _4\left(32\right)}{3}+\frac{\log _4\left(2\right)}{3}$
Simplify
$\log _4\left(x\right)=\frac{\log _4\left(32\right)+\log _4\left(2\right)}{3}$
$\log _4\left(x\right)=1$
Apply log rule
$\log _4\left(x\right)=\log _4\left(4\right)$
Answer:
$x=4$

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A cube with 15-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter deep. (Round your answers t

Ghella [55]

Answer:

0.204 KN

Step-by-step explanation:

Height above cube h= (100-15)/100 = 0.85 m

a) force on the top of the cube = ρgh×area

= 1000×9.81×0.85 = 8330 N/m^2

= 833 KN/m^2*0.15^2= 0.187 KN

b) Force on one side of the cube

on top = 8.33 KN/m^2

at bottom ρgh

= 1000×9.8×100/100

=9800 N/m^2

Net Force = area of the diagram

= 8.33×(15/100)^2 + 1/2(9.8-8.33)×(15/100)^2

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4 years ago

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dalvyx [7]

Answer:

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3 years ago

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Roman55 [17]

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3 years ago

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Fofino [41]

Answer: C

Step-by-step explanation:

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2 years ago

PLEASE HURRY!! simplify completely show all work for full credit

Irina18 [472]

Answer:

$4x^{3}$

Step-by-step explanation:

Given:

$(\frac{192x^{12}}{3x^{3}} )^{\frac{1}{3}}$

Apply exponent rule of distribution:

$\frac{(192x^{12})^{\frac{1}{3}}}{(3x^{3})^{\frac{1}{3}}}$

Simplify the numerator:

$\\\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{(3x^{3})^{\frac{1}{3}}}$

Simplify the denominator:

$\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{3^\frac{1}{3}x}}$

Simplify:

$4x^{3}$

-> To explain this party since it is a bigger jump, $3^{\frac{1}{3}}x$ is on the top and the bottom, so it becomes a one. We are left with a four on the top, and using properties of exponents 4 - 1 = 3, explaining why we have $x^{3}$ leftover too.

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

3 0

3 years ago