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disa [49]
3 years ago
9

Find the value of y Log^2 32=y

Mathematics
1 answer:
elena-s [515]3 years ago
7 0

Answer:

Step-by-step explanation:

First of all, I have a strong feeling that that is supposed to be

log_2(32)=y so I'm going to go with that. We can solve for y by rewriting that in exponential form. Exponential form and log form are inverses of each other. If the log form of an equation is

log_b(x)=y, the exponential form of it is

b^y=x. We will apply that here to solve for y:

2^y=32

which is asking us, "2 to the power of what equals 32?". We can use our calculator to raise 2 to consecutive powers til we reach the one that gives us a 32, or we could solve it by writing the 32 in terms of a 2:

2^y=2^5

Since both bases are the same, 2, then the exponents are equal to one another. y = 5. This is an important rule to remember while solving either log or exponential equations.

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Solve x2+6x=7 by completing the square.Which is the solution set of the equation?
NARA [144]

Answer:

x = - 7, x = 1

Step-by-step explanation:

Given

x² + 6x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = 7 + 9

(x + 3)² = 16 ( take the square root of both sides )

x + 3 = ± \sqrt{16} = ± 4 ( subtract 3 from both sides )

x = - 3 ± 4

x = - 3 - 4 = - 7

x = - 3 + 4 = 1

Solution set = { - 7, 1 }

4 0
3 years ago
F(x)=x^2. What is g(x)?
Nina [5.8K]

Answer:

C

Step-by-step explanation:

I'm super sorry if I get this wrong you don't have to choose C I feel like I'm wrong but have a nice day

4 0
3 years ago
An airplane flies 315 km in 1 hour 45 minutes. Calculate the average speed.
valentina_108 [34]

Answer:

3 km per minute

Step-by-step explanation:

speed = distance / time

315km/105 minutes

= 3 km per minute

4 0
3 years ago
Miyoko's goal is to earn more than \$950$950dollar sign, 950 this week. She earns \$250$250dollar sign, 250 for every day she wo
GrogVix [38]

$250 c+ $ 180 g > $ 950

<u>Step-by-step explanation:</u>

As a cryptographer (c), Miyoko earns per day = $ 250

As a geologist (g) , Miyoko earns per day = $ 180

So the equation comes to be $250 c+ $ 180 g = $ 950

The equation can be rewritten to find c as, (950-180 g) / 250

The equation can be rewritten to find g as, (950 - 250 c) / 180

Plugin different values of c and g in the above 2 equations, we can find that ,

To achieve the goal, Miyoko requires to be a geologist for 3 days and crpytographist for 2 days.

5 0
3 years ago
How would 5 1/4 be written as a percent? A. 0.0525 B. 0.525% C. 5.25% D. 525%
OleMash [197]

Answer:

525%

Step-by-step explanation:

set 5 1/4 as a decimal.

5.25 then move decimal point two places to the right to get the percent

525%

7 0
3 years ago
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