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2 years ago

Which logarithmic equation is equivalent to the exponential equation below?

Mathematics

2 answers:

BlackZzzverrR [31]2 years ago

8 0

Answer:

Step-by-step explanation:

Using the rule of logarithms

$log_{b}$ x = n ⇔ x = $b^{n}$

Given

$e^{a}$ = 35, then

$log_{e}$ 35 = a, that is

ln35 = a → B

stealth61 [152]2 years ago

3 0

I think id c that what i think(:($(::;(;:::);;);).-)(/-:

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Find the cube root of 1.331

Anastaziya [24]

Answer:

answer is 1.1 

Step-by-step explanation:

11(1331)

11(121)

11(11)

(1)

10(1000)

10(100)

10(10)

(1)

(11/10*11/10*11/10)^(1/3)

=11/10

=1.1.

8 0

2 years ago

Read 2 more answers

I’m thinking the answer should be B right ??

laiz [17]

Hello!

The formula for the volume of a sphere is $\frac{4}{3} \pi r$ ³.

Let's plug in our radius.

$\frac{4}{3} \pi (1,000)$

As we are not looking for an exact answer,we can look for an answer in terms of pi. Maybe we could multiply our fraction by 1,000.

$\frac{4000}{3} \pi$

Therefore, our answer is D.

I hope this helps!

7 0

2 years ago

Please help I will give you 20 points

zheka24 [161]

You good ?????????????

7 0

2 years ago

If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2 Express answer as a common fraction. Thanks!!

timama [110]

$x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0$

By the quadratic formula,

$x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2$

Then

$(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2$

$\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}$

Multiply numerator and denominator by the denominator's conjugate:

$\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15$

3 0

3 years ago

The scale of a map is 1 inch : 10 miles. What is the scale of the map area to the actual area? 1 in. : 10 mi 1 in. : 20 mi 1 in.

AlexFokin [52]

Answer:

1 in. : 100 mi

Step-by-step explanation:

Scale = 1 inch : 10 miles

In the scale, the quantity is Length

The relationship between length and Area is;

Area = Length * Length

So inch becomes inch^2

1 inch * 1 inch = 1 i

10 miles * 10 miles = 100

The correct option is;

1 in. : 100 mi

4 0

2 years ago