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3 years ago

How many solutions does an equation have when you isolate the variable and it equals a constant?

Mathematics

2 answers:

Ostrovityanka [42]3 years ago

5 0

<span>it depends. if (for example) y=x2 then there are an infinite amount of answers.</span>

-BARSIC- [3]3 years ago

3 0

Answer:

1 solution pls branliest

Step-by-step explanation:

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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

What is the area of a circle who's radius is 4 ft?

masya89 [10]

Answer:

50 .27 rounded up

Step-by-step explanation:

area = pi * R squared

so it's 50 .27

6 0

4 years ago

Read 2 more answers

In parallelogram ABCD, AB= x, BC= x+y, CD= y-x and AD= 15. solve for x and y

erma4kov [3.2K]

Answer:

I think 29

I don't know if it's right

7 0

3 years ago

The perimeter of a triangle is 65 meters. The second side is 5 meters less than the first side The third side is 7

tangare [24]

Answer:

The length of each side is 31.5m, 26.5m, 7m

Step-by-step explanation:

Let the length of the first side of the triangle be x meters.

Then, the second side is x-5 meters.

The third side is given as 7 meters.

The perimeter is 65 meters

This gives us the equation:

$65 = x + x - 5 + 7$

$65 - 7 + 5 = x + x$

$63 = 2x$

$x = \frac{63}{2} = 31.5$

The length of each side is 31.5m, 26.5m, 7m

4 0

3 years ago

A group of friends wants to go to the amusement park. They have no more than $235 to spend on parking and admission. Parking is

STALIN [3.7K]

228/28.50= 8 that should be right!

3 0

3 years ago