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3 years ago

Anyone who knows how to solve this?

Mathematics

2 answers:

forsale [732]3 years ago

7 0

Set an equation with the exponents equal to each other because g raised to some exponent is only equal to g raised to the same exponent

erma4kov [3.2K]3 years ago

4 0

Answer:

x = -2, 5

Step-by-step explanation:

if the given expression is true then powers on both sides should be equal

then x^2 = 3x + 10

x^2 -3x - 10 = 0

x^2 -5x + 2x -10 = 0

x (x + 2) - 5 (x + 2) = 0

(x + 2) (x - 5) = 0

x = -2, 5

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Find the inverse of each function.

weeeeeb [17]

The inverse of a function is the opposite of the function

<h3>How to determine the inverse functions</h3>

1) y = log2 (3x)

Swap the positions of x and y

$x = \log_2(3y)$

Apply the exponential rule

$2^x = 3y$

Make y the subject

$y = \frac{2^x}3$

Hence, the inverse function is: $y = \frac{2^x}3$

2) y=log3(x-1)

Swap x and y

$x = \log_3(y - 1)$

Apply exponent rule

$3^x = y - 1$

Make y the subject

$y = 3^x + 1$

Hence, the inverse function is: $y = 3^x + 1$

3) y=-2log x

Swap x and y

$x=-2\log y$

Divide both sides by -2

$-0.5x=\log y$

Apply exponent rule

$y = 10^{-0.5x}$

Hence, the inverse function is: $y = 10^{-0.5x}$

4) y=log6(3x)

Swap x and y

$x = \log_6(3y)$

Apply exponent rule

$3y = 6^x$

Make y the subject

$y = \frac{6^x}{3}$

Hence, the inverse function is: $y = \frac{6^x}{3}$

5)y=log3(x+2)

Swap x and y

$x = \log_3(y + 2)$

Apply exponent rule

$y + 2 = 3^x$

Make y the subject

$y = 3^x - 2$

Hence, the inverse function is: $y = 3^x - 2$

6) y=log3(5^3)

Swap x and y

$x = \log_3(5^3)$

Hence, the inverse function is: $x = \log_3(5^3)$

7) y=6^x+5

Swap x and y

$x = 6^y + 5$

Subtract 5 from both sides

$6^y = x - 5$

Apply logarithm

$y = \log_6(x - 5)$

Hence, the inverse function is: $y = \log_6(x - 5)$

9) y=log3 2^x

Swap x and y

$x = \log_3(2^y)$

Apply exponent rule

$2^y = 3^x$

Apply logarithm

$y = \log_2(3^x)$

Hence, the inverse function is: $y = \log_2(3^x)$

10) y=3^x -7

Swap x and y

$x = 3^y - 7$

Add 7 to both sides

$3^y = x + 7$

Apply logarithm

$y = \log_3(x + 7)$

Hence, the inverse function is: $y = \log_3(x + 7)$

Read more about inverse functions at:

brainly.com/question/14391067

4 0

2 years ago

What is 5 3/4+2 3/4=

lora16 [44]

Answer is provided in the image attached.

4 0

3 years ago

Read 2 more answers

Josie has a rug with an area of 18 square feet that is 6 feet long and 3 feet wide she will put the rug on the floor that is cov

OlgaM077 [116]

Answer:

18 ÷ 6 = 3

18 ÷ 3 = 6

Step-by-step explanation:

3 0

3 years ago

ADD: 2x + 4y - 3z 3y + 2z + 6x 4z - 8x - 7y

steposvetlana [31]

(2x + 4y - 3z) + (3y + 2z + 6x) + (4z - 8x - 7y)

= 2x + 4y - 3z + 3y + 2z + 6x + 4z - 8x - 7y

= (2x + 6x - 8x) + (4y + 3y - 7y) + (-3z + 2z + 4z)

= 0 + 0 + 3z

= 3z

8 0

4 years ago

When Marie solved a system using substitution, she got 0 = 0. What can Marie conclude? The system of equations does not have a s

FinnZ [79.3K]

Answer:

D. The system of equations has infinitely many solutions.

Step-by-step explanation:

0 = 0 is the correct equation without any variables.

It means the initial equations will be correct for any value of the variables.

This brings us to the conclusion that the system has infinitely many solutions.

Correct choice is D

3 0

3 years ago