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Lemur [1.5K]
3 years ago
13

Verifying Properties of logarithms In Exercise,use a graphing utility to verify that the functions are equivalent for x > 0.

Mathematics
1 answer:
Ede4ka [16]3 years ago
7 0

Answer:

Applying Quotient and power rule. Graphically, for x>0 both curves coincide.

Step-by-step explanation:

1) Firstly, by applying the Quotient and then the Power Rule, we have a subtraction of the argument and, finally the exponent turns to be the coefficient. As it follows:

lnx=log_{e}x\\\\f(x) = ln({\frac{x^{2}}{4}})\Rightarrow f(x)=ln{x^2}-ln4\Rightarrow f(x)=2lnx-ln4\\g(x) = 2 ln x - ln 4

2) Check the graph below to see this equivalence. to see x>0 they  both coincide.

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Find the unknown side length, x. write your answer in simplest radical form.
amid [387]

Answer:

Unknown side length is 2\sqrt{119}

C is correct.

Step-by-step explanation:

We are given a right angle triangle whose two sides are 24 and 10.

As shown in figure 24 is longest side. It would be hypotenuse of triangle. 10 would be length of one leg and x would be length of another leg.

It is right angle triangle. Using pythagoreous theorem find out another leg (x)

Pythagoreous theorem:

a^2+b^2=c^2

where, a=x, b=10 and c=24

x^2+10^2=24^2

x^2=576-100=476

x=\sqrt{476}

x=2\sqrt{119}

Thus, Unknown side length is 2\sqrt{119}

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Step-by-step explanation:

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3 years ago
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2 years ago
Let x be the first factor in an expression in scientific notation. Describe the possible values of x.
Igoryamba

What are some problems that can occur when using overrides? Check all that apply.

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3 years ago
Yayyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
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Answer:

It b

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Hope this Helped

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