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Katyanochek1 [597]
3 years ago
7

Solve to find x log (3x+5) to base 5= 2log (1-3x) to base 25

Mathematics
1 answer:
Eduardwww [97]3 years ago
8 0

Answer:

x = -2/ 3

Step-by-step explanation:

in order to cancel out the logs they should have common bases

\mathsf{ log_{5}(3x + 5) = 2 log_{25}(1 - 3x)  }

we can write 25 as 5²

\mathsf{ \implies  log_{5}(3x + 5) =  2 \: log_{ {5}^{2} }(1 - 3x)  }

we know that the reciprocal of the exponents of the bases are multiplied to the log

\mathsf{ \implies  log_{5}(3x + 5) =   \frac{1}{\cancel{2} } \times \cancel{2} \: log_{ 5}(1 - 3x)  }

and now since the logs have common bases

\mathsf{ \implies  \cancel { log_{5}}(3x + 5) = \cancel{ log_{ 5}}(1 - 3x)  }

we're left with

\mathsf{ \implies 3x + 5 = 1 - 3x}

\mathsf{ \implies 9x = -4}

<u>x = -2/ 3</u>

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telo118 [61]
Assume that 100% = 45 sales and 35% = X sales amount

You can create a ratio to help you solve for x

45 = 100%
x   =  35 %

Which is equal to this fraction:  (45/x) = (100/35)

Solving for X by cross multiplying and dividing by 100:
  [(45)(35)] / 100  =  X = 15.75 = 16 sales (rounded up)

You would need at least 16 sales to increase sales total by 35%
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Find the measure of angle X.<br><br><br>11°<br><br>12°<br><br>17°<br><br>61°
nika2105 [10]

Answer:

option B : 12 degree

Step-by-step explanation:

The sum of angles in a triangle = 180 degree

Small box represents 90 degree

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119 + y = 180 (subtract 119 on both sides)

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Write 2.452 x 10<br> in standard notation.
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Step-by-step explanation:

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tickets for a harlem globetrotter show cost $28 general admission, $43 courtside, or $173 bench seats. Nine times as many genera
densk [106]

Answer:

general admission tickets  1170

courtside tickets  985

tickets bench seats.  130

Step-by-step explanation:

To solve the problem, it is necessary to generate a system of equations with the information provided by the statement.

First be

x = # general admission tickets

y = # courtside tickets

z = # tickets bench seats.

The first equation would be that they sold nine times more general admission tickets than bench seats tickets.

That is: x = 9 * z (1)

And the second equation is that the number of general admission tickets sold was 55 more than the sum of the number of courtside tickets and bench seats tickets.

That is: x = 55 + y + z (2)

Now the third equation would be the money raised.

28 * x + 43 * y + 173 * z = 97605 (3)

Now if I replace I rearrange (1):

z = x / 9 (4) and replacement in 2, I have:

x = 55 + y + x / 9, rearranging:

y = (8/9) * x - 55 (5)

Now replacing (4) and (5) in 3, we have:

28 * x + 43 * ((8/9) * x - 55) + 173 * (x / 9) = 97605

Solving the above:

x = 1170, therefore

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We can confirm this with equation (3)

28 * x + 43 * y + 173 * z = 97605

28 * 1170 + 43 * 985 + 173 * 130 = 97605

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What is the y-intercept of the line shown below if the slope is 0?
ioda

The y-intercept of the line that is shown if the slope is 0 is: 2.

<h3>What is the Y-intercept of a Graph?</h3>

The y-intercept of a graph is the value of y when x = 0, which is the point on the vertical axis (y-axis) where the line intercepts.

The graph given is an horizontal line having a slope value of 0. The equation of the line is therefore, y = 2.

Thus, from the given graph, the y-axis is intercepted by the line at y = 2. At this point where y = 2, the corresponding value of x is 0.

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