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2 years ago

What is the true solution to 3 l n 2 + l n 8 = 2 l n (4 x)

Mathematics

2 answers:

IrinaVladis [17]2 years ago

8 0

Answer: 2

Step-by-step explanation:

3 ln (2) + ln (8) = 2 ln (4x)

ln (2)³ + ln (8) = ln (4x)²

ln (2³ · 8) = ln (4x)²

(2³ · 8) = (4x)²

64 = 16x²

4 = x²

±2 = x

-2 is an extraneous solution because x > 0

The only valid answer is x = 2

notka56 [123]2 years ago

5 0

Answer:

C. on edge

Step-by-step explanation:

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Using property find a.3/5×-2/7+4/5-3/10×2/7

Sedaia [141]

Here the answer is 19/35

Step-by-step explanation:

$\frac{3}{5} X\frac{-2}{7} +\frac{4}{5}-\frac{3}{10} X\frac{2}{7}$

We will apply BODMAS rule

In this rule multiplication comes before add and subtraction

= $\frac{-6}{35} + \frac{4}{5} - \frac{3}{35}$

= $\frac{4}{5} - ( \frac{6}{35}+ \frac{3}{35})$

= $\frac{4}{5} - \frac{9}{35}$

= $\frac{4 X 7}{5 X 7} -\frac{9}{35}$

= $\frac{28}{35} - \frac{9}{35}$

= $\frac{19}{35}$

5 0

2 years ago

An airplane 30000 feet above the ground begins descending at a rate of 2000 feet per minute The best form to use is because ther

mina [271]

Answer:

30000-2000=28000 feet.

This is a form of subtraction to use the ground and descend to ground level.

Step-by-step explanation:

4 0

2 years ago

Which equation is true?

amm1812

D is the answer
(4+8)+1 = 13
4+(8+1) = 13
Therefore equation D is true

4 0

2 years ago

4 math problem

Aneli [31]

Answer:

Step-by-step explanation:

1)y=-6x-14 ---------(i)

-x-3y=-9 ---------- (ii)

Substitution method:

Substitute y value in equ (i)

-x -3*(-6x-14) = -9

-x - 3*-6x -3*(-14)= -9

-x + 18x + 42 = -9

17x = -9 -42

17x = -51

x = -51/17

x = -3

Substitute x value in equation (i)

y = -6*-3 -14

y =18-14

y = 4

6 0

2 years ago

Read 2 more answers

3.920 * (1.018)^x = 5.500 X=?

Andrei [34K]

Answer:

Step-by-step explanation:

3.920(1.018)ˣ = 5.500

First we can divide both sides by 3.920 to get: (1.108)ˣ = 1.403
Then we can take the natural log of both sides to get: ln[(1.108)ˣ] = ln(1.403)
We can then use logarithmic rules to move the x exponent to the front: xln(1.108) = ln(1.403)
Then we can divide both sides by ln(1.108) to get: $x=\frac{ln(1.403)}{ln(1.018)}$
Then using a calculator we get x = 18.98 ≈19

5 0

2 years ago