Write expression as a complex number in standard form and show work [(13i)/(1-2i)]

Answer:

So the quotient of has (x + 3)² in the numerator and (x + 5)² in the denominator.

Step-by-step explanation:

Factorizing the expressions we have

Cancelling out the like factors, (x -1) and (x - 2), we have

=

So the quotient of has (x + 3)² in the numerator and (x + 5)² in the denominator.

Answer:

x=5

Step-by-step explanation:

To find out zeros we replace f(x) with 0

Now solve for x

first we divide the numerator by x

Now we facor out GCF 5

Divide by 5 on both sides

Add 5 on both sides

x= 5

zero of the function is x=5

Rewrite the original equation as:

Log(4x^2) - log(3yz)

Rewrite log(4x^2) as log(4) + log(x^2)

Rewrite log(4) as 2log(2)

Rewrite log(x^2) as 2log(x)

Separate log(3yz) into 3 logs: log(3), log(y) and log(z)

Now combine them to get:

2log(2) + 2log(x) - log(3) - log(y) - log(z)

Final answer:

The decomposition of the logarithmic expression Log((4)/(3yz)) leads to the end result: Log(4) + Log() - Log(3) - Log(y) - Log(z). The given expression is separated into individual logarithms applying the logarithmic rules.

Explanation:

The decomposition of the logarithmic expression Log((4x2)/(3yz)) according to the laws of logarithms can be done as follows:

Using the rule that log(a/b) = log(a) - log(b), we can first split the expression into two parts: Log(4x2) - Log(3yz).

From there, we can apply the rule that log(ab) = log(a) + log(b) to split these further. So, Log(4x2) becomes Log(4) + Log(x2), and Log(3yz) becomes Log(3) + Log(y) + Log(z).

Finally, we substitute these back into the original expression to get the final decomposition: Log(4) + Log(x2) - Log(3) - Log(y) - Log(z).

Learn more about Logarithmic Decomposition here:

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Answer:

-94

Step-by-step explanation:

f(-7): YOU MUST SUB THIS INTO THE CORRECT EQUATION. DO NOT SUB -7 INTO G!!! SUB IT INTO F

-2x(-7)^2 + 4

-2x(49) + 4

-98 + 4

= -94