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3 years ago

Which logarithmic equation is equivalent to the exponential equation below? 9^x = 27

Mathematics

1 answer:

matrenka [14]3 years ago

7 0

Answer:

x = 3/2

Step-by-step explanation:

9^x = 27 base equation

9^x = 3^3 convert 27 to exponential

3^(2x) = 3^3 convert 9^x to the same base number

2x = 3 drop the bases and compare exponents

x= 3/2 answer

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Step-by-step explanation:

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2 years ago

Which expression is equivalent to 8 -(6r+2)

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▹ Answer

▹ Step-by-Step Explanation

8 - (6r + 2)

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3 years ago

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3 years ago

For which value(s) of x will the rational expression below equal zero? Check all that apply.

Ivahew [28]

Answer: D.-6 and F.3

Step-by-step explanation:

The given rational number : $\dfrac{(x-3)(x+6)}{(x+7)}$

To find : The value of x , where the rational expression becomes equal zero.

Let's check all the options :

A. 7

At x= 7 , $\dfrac{(7-3)(7+6)}{(7+7)}=\dfrac{26}{7}\neq0$

B. -7

At x= 7 , $\dfrac{(-7-3)(-7+6)}{(-7+7)}=\dfrac{10}{0}=\infty\neq0$

C. 6

At x= 6 , $\dfrac{(6-3)(6+6)}{(6+7)}=\dfrac{36}{13}\neq0$

D. -6

At x= -6 , $\dfrac{(-6-3)(-6+6)}{(-6+7)}=\dfrac{0}{1}=0$

E. -3

At x= -3 , $\dfrac{(-3-3)(-3+6)}{(-3+7)}=\dfrac{-9}{2}\neq0$

F. 3

At x= 3 , $\dfrac{(3-3)(3+6)}{(3+7)}=0$

Thus, at x= -6 and 3 , the rational expression equals to zero .

So , the correct options are : D.-6 and F.3

8 0

3 years ago

Read 2 more answers