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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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snow_tiger [21]
1400 = Deposited money
210 = Gained money
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3 0
3 years ago
X - 1 < 11
inna [77]

Answer:

If your looking for inequality then its x<12

Step-by-step explanation:

Move constant to the right and calculate

7 0
3 years ago
FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM
algol13

Answer:

740

Step-by-step explanation:

The n th term of an arithmetic series is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then

a₁ + 2d = 7 → (1)

a₁ + 6d = 23 → (2)

Subtract (1) from (2) term by term

4d = 16 ( divide both sides by 4 )

d = 4

Substitute d = 4 into (1)

a₁ + 2(4) = 7

a₁ + 8 = 7 ( subtract 8 from both sides )

a₁ = - 1

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , thus

S_{20} = \frac{20}{2} [ (2 × - 1) + (19 × 4) ]

     = 10(- 2 + 76) = 10 × 74 = 740

8 0
3 years ago
Given: f(x) = 3x2 + 2x – 1
denis-greek [22]

Answer:

84

Step-by-step explanation:

f(x) = 3x^2 + 2x – 1

Let x=5

f(5) = 3(5)^2+2(5) -1

     = 3*25 +10-1

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4 0
3 years ago
See attached picture.
Andrei [34K]

Answer:

28

Step-by-step explanation:

Since the triangle is a right triangle, we can use SOH CAH TOA to find ?. 10 is OPPOSITE to ? and 21 is HYPOTENUSE to ?, so we can use SIN to find ?.


SIN(?) = 10/21

? = ARCSIN(10/21)

? = 28.437

5 0
1 year ago
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