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3 years ago

First to answer gets brainliest

Mathematics

1 answer:

Masteriza [31]3 years ago

3 0

Answer:

Step-by-step explanation:

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What is the relationship between exponentials and logarithms? How can you use these to solve equations? Provide an example in yo

Sveta_85 [38]

Answer:

Exponentials and logarithms are inverses of each other.

Step-by-step explanation:

Exponentials and logarithms are inverses of each other.

For logarithmic function:

Domain = $\left ( 0,\infty \right )$ , Range = $\left ( -\infty ,\infty \right )$

Vertical asymptote is y - axis.

x - intercept is (1,0)

For exponential function:

Domain = $\left ( -\infty ,\infty \right )$ , Range = $\left ( 0,\infty \right )$

Horizontal asymptote is x - axis.

y- intercept is (0,1)

Both exponential and logarithmic functions are increasing.

For example:

Solve: $\log x=\frac{\log 5+\log 3}{\log 3^2}$

$\log x=\frac{\log 5+\log 3}{\log 3^2}\\\log x=\frac{\log (5\times 3)}{2\log 3}\,\,\left \{ \because \log (ab)=\log a+\log b\,,\,\log a^b=b\log a \right \}\\=\frac{\log 15}{2\log 3}$

$\Rightarrow \log x=\frac{\log 15}{2\log 3}\\\Rightarrow x=e^{\frac{\log 15}{2\log 3}}\,\,\left \{ \because \log x=y\Rightarrow x=e^y \right \}$

4 0

3 years ago

Brenda invests $4,848 in a savings account

ELEN [110]

It will be $2678 because they’ve took 12%

5 0

3 years ago

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Solve the equation. 3/4x+3-2x = -1/4+1/2x+5

Advocard [28]

Answer:

Step-by-step explanation:

Yes

8 0

3 years ago

Read 2 more answers

Find the total surface area of each of the following cylinders.

zhuklara [117]

Answer:

$272\pi$

Step-by-step explanation:

Area of Circle =

$\pi {r}^{2} \\ r \: = \frac{8}{2} = 4 \\ \pi {4}^{2} = 16\pi$

Circumference =

$\pi d \\ 8\pi$

SA =

$2(16\pi) + 30(8\pi) = 272\pi$

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3 years ago

PLZ HELP!!!!!! I THINK ITS TRUE BUT IM NOT SURE

suter [353]

Yes it is true! it is true because two different numbers go to the same number, if it was false it would have to be the one number to two different numbers.

Hope that made sense!

5 0

4 years ago