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galben [10]
3 years ago
6

Solve for X Log x - log 3 = log(x-2) Please please help

Mathematics
1 answer:
andre [41]3 years ago
8 0

Step-by-step explanation:

log \frac{a}{b}  = loga - logb

logx - log3 = log(x-2)

log( \frac{x}{3} ) = log(x - 2)

\frac{x}{3}  = x - 2

x = 3(x - 2)

x = .......

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- If f ( x ) = x² + 2x - 1 and g ( x ) = 3x - 2 , then verify the following :
RideAnS [48]

Step-by-step explanation:

Hey there!

Given;

f ( x ) = x² + 2x - 1

g ( x ) = 3x - 2

To verify:

( \frac{f}{g} )(2) =  \frac{f(2)}{g(2)}

LHS:

(\frac{f}{g} )(x) =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~ Insert "2" instead of "x".

(\frac{f}{g} )(2) =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it;

\frac{f}{g} (2) =  \frac{4 + 4 - 1}{6 - 2}

Therefore; (f/g)(2) = 7/4.

RHS:

\frac{f(x)}{g(x)}  =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~Insert "2" instead of"x".

\frac{f(2)}{g(2)}  =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it.

\frac{f(2)}{g(2)}  =  \frac{4 + 4 - 1}{6 - 2}

Therefore, f(2)/g(2) = 7/4.

Since (f/g)(2) = f(2)/g(2) = 7/4.

<em><u>Proved!</u></em>

<u>Hope </u><u>it </u><u>helps</u><u>!</u>

3 0
3 years ago
(x+4) (x+10)<br>simplify​
Murrr4er [49]

Answer:

x^2 + 14x + 40.

Step-by-step explanation:

(x+4) (x+10)

= x(x + 10) + 4(x + 10)     ( By the Distributive Law)

= x^2 + 10x + 4x + 40

= x^2 + 14x + 40.

8 0
3 years ago
Read 2 more answers
4400 dollars is placed in an account with an annual interest of 8.25%.How much will be in the account after 29 years
SOVA2 [1]
If interest is compounded annually, the account balance will be
.. 4400*1.0825^29 ≈ 43,839.13 . . . . dollars
4 0
3 years ago
An = a1 + (n − 1)d<br> Find the 31st term of the sequence -22, -19, -16, -13,...
JulsSmile [24]

Answer:

68.

Step-by-step explanation:

The common difference d = -19 - (-22) = 3

So the 31st term =

a31 =  -22 + (31-1)3

= -22 + 90

= 90 - 22

= 68.

4 0
3 years ago
PLZZ HELP
kupik [55]

Answer:

A) (-2,0) and (6,0)

B) (0,-12)

C) (2,-16)

Step-by-step explanation:

In the graph you see below, you can tell that the two x intercepts are at (-2,0) and (6,0), while the y intercept is at (0,-12). You can also see that the vertex is at (2,-16). Hope this helps!

6 0
3 years ago
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