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adelina 88 [10]
3 years ago
6

What is the correct inverse function for f(x)=In5x?

Mathematics
2 answers:
telo118 [61]3 years ago
8 0
y = \ln (5x)\\
e^y=5x\\
x=\dfrac{e^y}{5}\\
\boxed{f^{-1}(x)=\dfrac{e^x}{5}}



Mashutka [201]3 years ago
8 0
f(x)=\ln5x\\\\\ln5x=y\\\\e^{\ln5x}=e^y\iff5x=e^y\ \ \ |divide\ both\ sides\ by\ 5\\\\x=\dfrac{e^y}{5}\\\\\boxed{f^{-1}(x)=\dfrac{e^x}{5}}
You might be interested in
Solving Quadratic Equations with Complex SolutionsThe discriminant: D=b^2-4acQuestion:5x^2-2x+1=0
fomenos

• The value of the discriminant ,D= -16

,

• The solution to the quadratic equation is

x=\frac{1+2i}{5}\text{     or    }\frac{1-2i}{5}

Step - by - Step Explanation

What to find?

• The discriminant d= b² - 4ac

,

• The solution to the quadratic equation.

Given:

5x² - 2x + 1=0

Comparing the given equation with the general form of the quadratic equation ax² + bx + c=0

a=5 b=-2 and c=1

Uisng the quadratic formula to solve;

x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

The discriminant D=b² - 4ac

Substitute the values into the discriminant formula and simplify.

D = (-2)² - 4(5)(1)

D = 4 - 20

D = -16

We can now proceed to find the solution of the quadratic equation by substituting into the quadratic formula;

x=\frac{-(-2)\pm\sqrt[]{-16}}{2(5)}

Note that:

√-1 = i

x=\frac{2\pm\sqrt[]{16\times-1}}{10}

x=\frac{2\pm\sqrt[]{16}\times\sqrt[]{-1}}{10}x=\frac{2\pm4i}{10}x=\frac{2}{10}\pm\frac{4i}{10}x=\frac{1}{5}\pm\frac{2}{5}ix=\frac{1\pm2i}{5}

That is;

\text{Either x=}\frac{1+2i}{5}\text{ or     x=}\frac{1-2i}{5}

7 0
1 year ago
What is <br> m∠HLG<br> ? <br> Enter your answer in the box.
Talja [164]

Answer:

18°

P.S. Put as brainiest!

7 0
3 years ago
Simplify completely 12x^3-4x^2+8x over -2x
sergejj [24]
Hello : 
<span> (12x^3-4x^2+8x) / -2x = - 6x²+2x - 4</span>
4 0
3 years ago
(this question only goes out to that guy who said he was gonna sue me)
san4es73 [151]

Answer:

6^3= 216

4^4=256

216*256=55296

Step-by-step explanation:

no1 should sue u boo lm.fao

6 0
2 years ago
3a-3/a+6=9/6 what is a
Gekata [30.6K]

Answer:

a=1/2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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