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vivado [14]
3 years ago
7

Solve ln 3 + ln (4x) = 4 round your answer to the nearest hundredth

Mathematics
2 answers:
Drupady [299]3 years ago
3 0
Rewrite the equation in exponential form, use the definition of a log and then simplify and you should get x= e^4/12 or 4.55
Nataly [62]3 years ago
3 0

Answer:

x = 4.55.

Step-by-step explanation:

Given : ln 3 + ln (4x) = 4.

To find : Solve round your answer to the nearest hundredth.

Solution : We have given that  

ln 3 + ln (4x) = 4.

By the logarithm rule : ln a + ln b = ln (ab).

Then,

ln 3 + ln (4x) = ln (3 * 4x )

ln 3 + ln (4x) = ln (12 x )

Then ,

ln (12 x ) = 4

Taking exponential both side

12x = e^{4}.

12 x = 54.59.

12 x = 54 .59

On dividing by 12 both sides

x = 4.55.

Therefore, x = 4.55.

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Two numbers are in the ratio 3:7
lbvjy [14]

Answer:

98 And 18 i think

Step-by-step explanation:

8 0
3 years ago
Which expression is equivalent to (x Superscript 27 Baseline y) Superscript one-third?.
marin [14]

To solve the problem we must know the basic exponential properties.

<h3>What are the basic exponent properties?</h3>

{a^m} \cdot {a^n} = a^{(m+n)}

\dfrac{a^m}{a^n} = a^{(m-n)}

\sqrt[m]{a^n} = a^{\frac{n}{m}}

(a^m)^n = a^{m\times n}

(m\times n)^a = m^a\times n^a

The expression can be written as x^9\sqrt[3]{y}.

Given to us

  • (x^{27}y)^\frac{1}{3}

(x^{27}y)^\frac{1}{3}

Using the exponential property(m\times n)^a = m^a\times n^a,

=(x^{27}y)^\frac{1}{3}\\\\=x^{\frac{27}{3}}\times y^\frac{1}{3}\\\\=x^9\times y^\frac{1}{3}

Using the exponential property \sqrt[m]{a^n} = a^{\frac{n}{m}},

=x^9\times y^\frac{1}{3}\\\\=x^9\times \sqrt[3]{y}\\\\=x^9 \sqrt[3]{y}

Hence, the expression can be written as x^9\sqrt[3]{y}.

Learn more about Exponent properties:

brainly.com/question/1807508

5 0
2 years ago
Read 2 more answers
What is -38/-5 as a decimal?
sesenic [268]
Divide -38 by -5
The negatives cancel out since a negative divided by a negative is a positive.
7.6
5 0
3 years ago
Plz i need help What is the volume of the rectangular prism? show how you did it
Vesnalui [34]

The formula for volume is V=LWH

So in this example we have 10.4*5*8

So 8*5=40

40*10.4=416

So the volume is 416 cubic mm

Hope that helped

4 0
3 years ago
A cell phone cost $10 for the phone and $2 per hour that someone talks on the phone. If Jeremiah spent $30 total, how many hours
GREYUIT [131]

Answer:

10 times 2x = 30

Step-by-step explanation:

Tried my best

5 0
3 years ago
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