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ss7ja [257]
3 years ago
10

How do you solve this multi-step equation involving natural logarithms? ln(x-3)-ln5=1

Mathematics
1 answer:
sasho [114]3 years ago
5 0

Answer:

Step-by-step explanation:

Step 1, when  subtracting logs with the same base you can rewrite it with one log and the argument becomes division...

ln(x - 3) - ln 5 = 1 becomes...

            ln [ (x - 3)/5 ]  = 1

Step 2, rewrite the by putting into exponential form...ln has a base of e, so we get..

    e^1 = (x -3)/5

Now solve...

  e = (x - 3)/5

       5e = x - 3

             5e + 3 = x

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Is y = 3(x - 2) linear or nonlinear​
mixas84 [53]

Answer:

The equation is Linear

Step-by-step explanation:

6 0
2 years ago
The drawing is a scale drawing of a house.
Alborosie

Answer: 20.25ft

1. Find what 8 inches in scale equal for the height of the house.

we will do this step by multiplying.

2in=4.5

8=?

to find...

2x4=8

so

4.5x4=18

2. Find what 1 inch on the scale is equal to for the height of the house.

we will do this by dividing 4.5 by 2

4.5/2=2.25

3. Add both the values for step 1 and 2.

we will do this by just adding them both

18+2.25=20.25

<h2>Why is this our answer?</h2>

This is our answer, because first we found the value of 8 inches on the scale, which means that we are finding almost the full value of the 9 inches of the height of the house, then, we found 1 inch because 9-8=1, so if we already found 8, which is a number in the table of 2, we found out 1 so that we can add it with 8 to find the value of 9in on the scale. In this way, after adding, that gives us the value of 9in on the scale!

My gratitude attitude - THANKS!

3 0
2 years ago
What is another way to name line l? need help asap
kkurt [141]

Answer:

you can name it a or b like any letters

6 0
2 years ago
Read 2 more answers
Find polynomial whose zeros are 3 and -4​
horrorfan [7]

Answer:

Simplest polynomial: x²+x-12

Step-by-step explanation:

zeroes of polynomial= 3,-4

Therefore,

f(3) =0

f(-4)=0.

By factor Theorem

(x-3) and (x+4) are factors

so simplest polynomial is

(x-3)(x+4)

= x² - 3x + 4x -12

= x² + x -12

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Hope it helps

6 0
2 years ago
Determine all values of k for which the roots of the equation x^2-6x+k=0 are complex
MaRussiya [10]
Complex roots occur when b^2 - 4ac is negative.

So we have (-6)^2 - 4.1.k < 0
                      -4k < - 36
                       k > 9
6 0
3 years ago
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