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viva [34]
3 years ago
14

3. Simplify log3 20 - log3 5

Mathematics
1 answer:
aalyn [17]3 years ago
5 0
\log_320-\log_35=\log_3\dfrac{20}{5}=\log_34
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I need help I will rate you brainliest
Tems11 [23]

Answer:

it would be subtraction

Step-by-step explanation:

Because if you are trying to get you would do 2-2 to get 0 and have x by itself

3 0
3 years ago
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For which function is f(x) equal to f^1(x) ( answer choices in picture )
Sonja [21]

Answer:

C. f(x)=\frac{x+1}{x-1}

Step-by-step explanation:

Let's find the inverse of each of the given options.

Option A:

f(x)=\frac{x+6}{x-6}\\y=\frac{x+6}{x-6}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+6}{y-6}

Rewrite in terms of 'y'. This gives,

x(y-6)=y+6\\xy-6x=y+6\\xy-y=6x+6\\y=\frac{6x+6}{x-1}

The given function y=\frac{6x+6}{x-1}\ne y=\frac{x+6}{x-6}

So, option A is incorrect.

Option B:

f(x)=\frac{x+2}{x-2}\\y=\frac{x+2}{x-2}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+2}{y-2}

Rewrite in terms of 'y'. This gives,

x(y-2)=y+2\\xy-2x=y+2\\xy-y=2x+2\\y=\frac{2x+2}{x-1}

The given function y=\frac{2x+2}{x-1}\ne y=\frac{x+2}{x-2}

So, option B is incorrect.

Option C:

f(x)=\frac{x+1}{x-1}\\y=\frac{x+1}{x-1}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+1}{y-1}

Rewrite in terms of 'y'. This gives,

x(y-1)=y+1\\xy-x=y+1\\xy-y=x+1\\y=\frac{x+1}{x-1}

The given function y=\frac{x+1}{x-1}\ equals\ y=\frac{x+1}{x-1}

So, option C is correct.

Option D:

f(x)=\frac{x+5}{x-5}\\y=\frac{x+5}{x-5}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+5}{y-5}

Rewrite in terms of 'y'. This gives,

x(y-5)=y+5\\xy-5x=y+5\\xy-y=5x+5\\y=\frac{5x+5}{x-1}

The given function y=\frac{5x+5}{x-1}\ne y=\frac{x+6}{x-6}

So, option D is incorrect.

Therefore, only option C is correct.

7 0
3 years ago
Please help me with this question it is in the picture
alexdok [17]

Answer:

complementary angles

Step-by-step explanation:

The sum of the angles is 67+23 = 90

When angles sum together to 90, the are called complementary

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3 years ago
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20 people show up to the party, and Robert decides to give them each the same
nadya68 [22]

Answer:

depends on how much pizza he has.

Step-by-step explanation:

.

8 0
2 years ago
The watch at Macys is $400. The store is having a sale and everything is 30% off. What is the final price of the watch?
Ivahew [28]

Answer:

The price of the watch is 280$

Step-by-step explanation:

We know that the original price is 400 dollers, and its on sale for 30%.

So we do 30% of 400 = 120$

finally we do, 400$ - 120$ = 280$

so the final price of the watch is 280$

hope this helps

5 0
3 years ago
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