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3 years ago

Simplify the following expression. Log(x^3) -log (x^2)

Mathematics

1 answer:

Nuetrik [128]3 years ago

8 0

Since you are subtracting 2 logs, you write the single log as a quotient.

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Can someone help me with this?! thanks!!

Vera_Pavlovna [14]

Answer:

you literally just translate each shape by the number of squares specified.

Step-by-step explanation:

for example, move shape 1 5 squares to the right, then 4 down. it will be in the middle area of quadrant 1 (where it already is).

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3 years ago

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Probability word problem

Crazy boy [7]

Answer:

see below

Step-by-step explanation:

A can speak french

There are 10 students who can speak french, 4 girls and 6 boys

P(french) = speak french/ total

= 10/30

= 1/3

B is a boy

There are 16 boys

P (boy) = boys/total

= 16/30

8/15

C girl who can speak french

There are 4 girls who can speak french

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3 years ago

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What is the range of the equation

a_sh-v [17]

The range of the equation is $y>2$

Explanation:

The given equation is $y=2(4)^{x+3}+2$

We need to determine the range of the equation.

<u>Range:</u>

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

$y=2 \cdot 4^{x+3}+2$

This can be written as $y=2^{1+2(x+3)}+2$

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

$x=2^{1+2(y+3)}+2$

Solving for y, we get;

$x-2=2^{1+2(y+3)}$

Applying the log rule, if f(x) = g(x) then $\ln (f(x))=\ln (g(x))$ , then, we get;

$\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)$

Simplifying, we get;

$(1+2(y+3)) \ln (2)=\ln (x-2)$

Dividing both sides by $\ln (2)$ , we have;

$2 y+7=\frac{\ln (x-2)}{\ln (2)}$

Subtracting 7 from both sides of the equation, we have;

$2 y=\frac{\ln (x-2)}{\ln (2)}-7$

Dividing both sides by 2, we get;

$y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}$

Let us find the positive values for logs.

Thus, we have,;

$x-2>0$

$x>2$

The function domain is $x>2$

By combining the intervals, the range becomes $y>2$

Hence, the range of the equation is $y>2$

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3 years ago

-32x + 45 – 7 (2x – 9) = 101

Evgesh-ka [11]

Answer:

$x = \frac{7}{46}$

Step-by-step explanation:

-32x+45-7(2x-9)=101

parenthesis first

-32x+45-14x+63=101

just combine like terms

-46x+108=101

minus 108 both sides

-46x= -7

answer is x 7 over 46

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3 years ago

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How do these numbers compare? Drag the correct comparison symbol to the box. 2.75 2.6

Natalka [10]

<h2>COMPARE</h2>

<h2> $\\ \sf \: 2.75 \: \: \: \green{\boxed{\tt{{ > }}}} \: \: \: 2.6 \\$ </h2>

The correct sign for the two given digits compared is greater than. 2.75 is greater than 2.6.

8 0

3 years ago

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