Solve: 2 In 3 = In(x-4)

Mathematics

1 answer:

jeka57 [31]3 years ago

5 0

Answer:

x = 13

Step-by-step explanation:

one of the rules of logarithm (for all bases, by the way, not just e for ln) is

$a \times ln(b) = ln( {b}^{a} )$

so, we have

ln(3²) = ln(x-4)

3² = x - 4

9 = x - 4

x = 13

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Geometry Question: Image is provided below.

erik [133]

We know that the angle above 10x + 54 must be 8x because of Alternate angles. And we also know that angles in a straight line add up to 180. So we can infer that 10x + 54 + 8x = 180
We can simplify that into 18x + 54 = 180
Now we take away 54 from both sides to get 18x = 126
Now divide both sides by 18 and we get
x = 7.
Now that we know that x = 7 we know that the 10x + 54 angle is equal to 124 by substituting the value of x in. We also know that 11y + 14 must equal to 124 because of vertically opposite angles. So we have 11y + 14 = 124.

Take away 14 from both sides; 11y = 110
Now divide both sides by 11 and we get
y = 10

So x = 7 and y = 10
I hope that you understood all of my steps and if this did help you a Brainliest would be very appreciated :)

3 0

3 years ago

Read 2 more answers

An arithmetic sequence is shown below.

Elena L [17]

Answer:

B. a (n) = -3n + 13

Step-by-step explanation:

Given arithmetic sequence is: 10, 7, 4, 1, -2, ...

Here a = 10, d = 7 - 10 = - 3

$a_n = a + (n - 1)d \\ \\ a_n = 10+ (n - 1)( - 3) \\ \\ a_n = 10 - 3n + 3 \\ \\ \purple{ \bold{a_n = - 3n +1 3 }}\\ \\$