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siniylev [52]
3 years ago
9

What are the values of x in the following equation:

Mathematics
1 answer:
wariber [46]3 years ago
4 0
OK.  Concentrating only on the first log, here's how it works out:

               log [  x · (6x + 1) ]  =  log (6x² + x) .

Now looking at the whole left side, it says

                          log (6x² + x)  - log (x)

which is            log [ (6x² + x) / x ]

                     =  log (6x + 1).

So now we have

                                            log (6x + 1)  =  7

Raise 10 to the
power of each side:            6x + 1  =  10⁷

                                              6x         =  9,999,999

                                                x         =  9,999,999 / 6

                                                           =  1,666,666.5       

This number works when you plug it into the original equation.

I'm sorry, but just now, I don't see where a second solution would come from.
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3 0
3 years ago
Joe wants to rent an apartment with an initial monthly rent of $1,400. He has been told that the landlord raises the rent 1.25%
nadya68 [22]

Answer: his pay for the 4th year is $1453.16

Step-by-step explanation:

The landlord raises the rent 1.25% each year. It means that the rent is increasing in geometric progression.

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = $1,400

r = 1 + 1.25/100 = 1.0125

n = 4 years

The 4th term(year), T4 is

T4 = 1400 × 1.0125^(4 - 1)

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T4 = $1453.16

8 0
3 years ago
This is the angle similarity of triangles btw. I will give brainliest to whoever finds the missing angle measures.
Basile [38]
1: 64
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8 0
2 years ago
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Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Licemer1 [7]

Answer:

$43.95

Step-by-step explanation:

15/100 × 293

= 43.95

7 0
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Pavel [41]

Answer:

G=\frac{Fr^2}{m_1m_2}

Step-by-step explanation:

Since our equation is F=\frac{Gm_1m_2}{r^2} and we want to solve for G, first we divide both sides by the product m_1m_2, which gives:

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So we are left with:

\frac{F}{m_1m_2}=\frac{G}{r^2}

Now we multiply both sides by r^2, which gives:

\frac{Fr^2}{m_1m_2}=\frac{Gr^2}{r^2}=G

Which gives us our final formula:

G=\frac{Fr^2}{m_1m_2}

6 0
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