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3 years ago

URGENT WILL GIVE BRAINLIESST

Mathematics

1 answer:

Mazyrski [523]3 years ago

4 0

Answer:

x = log_2 (f(x))

Step-by-step explanation:

f(x) = 2^x

64 = 2^x

2^6 = 2^x

x = 6

f(x) = 2^x

log (f(x)) = x log 2

x = log (f(x)) / log 2 = log_2 (f(x))

Therefore, the required logarithmic function is x = log_2 (f(x))

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3 years ago

Differentiating a Logarithmic Function In Exercise, find the derivative of the function.

sp2606 [1]

Answer:

$\dfrac{d(f(x))}{dx} = \dfrac{2}{x}$

Step-by-step explanation:

We are given the following function in the question:

$f(x) = \ln (3x^2)$

We have to derivate the given function.

Formula:

$\dfrac{d(\ln x)}{dx} = \dfrac{1}{x}\\\\\dfrac{d(x^n)}{dx} = nx^{n-1}$

The derivation takes place in the following manner

$f(x) = \ln (3x^2)\\\\\dfrac{d(f(x))}{dx} = \displaystyle\frac{d(\ln(3x^2))}{dx}\\\\=\frac{1}{3x^2}\times \frac{d(3x^2)}{dx}\\\\= \frac{1}{3x^2}\times (6x)\\\\=\frac{6x}{3x^2}\\\\=\frac{2}{x}$

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5 0

3 years ago

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Dafna11 [192]

Answer:

Step-by-step explanation:

8 0

3 years ago

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The sum of twice a number and five is greater than three times the number minus three.

AnnZ [28]

Answer:

x<8

Step-by-step explanation:

2x+5>3x-3

2x+8>3x

8>x

5 0

2 years ago

Read 2 more answers

What is the slope of the line joining (8,8) and (12, 6)?

Anna71 [15]

Answer:

$\huge \boxed{ \boxed{ - \frac{1}{2} }}$

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\$

From the question we have

$m = \frac{6 - 8}{12 - 8} = - \frac{2}{4} = - \frac{1}{2} \\$

We have the final answer as

$- \frac{1}{2} \\$

Hope this helps you

6 0

3 years ago