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AURORKA [14]
3 years ago
13

DESPERATE PLEASE ANSWER FAST

Mathematics
1 answer:
stira [4]3 years ago
6 0
What’s the question?
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Solve 4^x-5 = 6 for x using the change of base formula log base b of y equals log y over log b
Ronch [10]

Answer:

4^x-5=6 gives the solution x=\frac{\log(11)}{\log(4)}.

4^{x-5}=6 gives the solution x=\frac{\log(6)}{\log(4)}+5.

Step-by-step explanation:

I will solve both interpretations.

If we assume the equation is 4^{x}-5=6, then the following is the process:

4^x-5=6

Add 5 on both sides:

4^x=6+5

Simplify:

4^x=11

Now write an equivalent logarithm form:

\log_4(11)=x

x=\log_4(11)

Now using the change of base:

x=\frac{\log(11)}{\log(4)}.

If we assume the equation is 4^{x-5}=6, then we use the following process:

4^{x-5}=6

Write an equivalent logarithm form:

\log_4(6)=x-5

x-5=\log_4(6)

Add 5 on both sides:

x=\log_4(6)+5

Use change of base formula:

x=\frac{\log(6)}{\log(4)}+5

6 0
3 years ago
If f(x) and it’s inverse function, f^-1(x), are, both plotted on the same coordinate plane, what is their point of intersection
Korolek [52]

Answer:

Step-by-step explanation:

Hello,

there is not always an intersection point

let's take the example of on the appropriate domain

f(x)=e^x \ \ \ f^{-1}(x)=ln(x)

there is no intersection point

if there is one it means that the point (x,f(x)) and the point (x,f^{-1}(x)) is the same so that have to solve

f(x)=f^{-1}(x)

for instance if we take

f(x)=x^2 \ \ \ f^{-1}(x)=\sqrt{x} \ \ \ for \ x >= 0

intersection point are for x >= 0

x^2=\sqrt{x} x^4=xx^3=1 \ or \ x=0 x = 1 \ or \ x=0

hope this helps

8 0
4 years ago
I need to know the distance and if your could please tell me the formula for future problems thank you!! ASAP
Ksivusya [100]

Distances in 2- and 3-dimensions (and even higher dimensions) can be found using the Pythagorean theorem. The straight-line distance can be considered to be the hypotenuse of a right triangle whose sides are the horizontal and vertical differences between the coordinates.

Here, you have A = (0, 0) and B = (3, 6). The horizontal distance between the points is ...

... 3 - 0 = 3 . . . . the difference of x-coordinates

The vertical distance between the points is ...

... 6 - 0 = 6 . . . . the difference of y-coordinates

Then the straight-line distance (d) between the points is found from the Pythagorean theorem, which tells you ...

... d² = 3² + 6²

... d = √(9 + 36) = √45 ≈ 6.7 . . . units

8 0
3 years ago
Jack weighed one marshmellow i weighed 7.2 grams how many would 12 marshmellows weigh
Anastasy [175]

Answer:

12 Marshmellow weight=7.2×12=86.4grams

6 0
3 years ago
Read 2 more answers
Find the coordinates of n after a 90 degrees clockwise rotation around the origin
Ket [755]

Answer:

270 degrees

Step-by-step explanation:

If you want a positive number, you can say that the origin is 360 degrees. Then, being it's moving clockwise, subtract 90 degrees from 360 degrees. That will give you 270 degrees.

If you want a negative answer, you could simply say that the origin is 0 and subtract 90 from that giving you -90.

Odds are you  should go with 270.

5 0
3 years ago
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