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defon
3 years ago
11

Express this equation in logarithmic form. y = bx

Mathematics
2 answers:
tatyana61 [14]3 years ago
8 0
<span><span>the answer to this problem would be log10</span>y=x</span>
Studentka2010 [4]3 years ago
8 0

Answer:

x = \log_b y

Step-by-step explanation:

Using logarithmic rules:

\log a^x = x \log a

\frac{\log x}{\log b} = \log_b x

Given the equation:

y = b^x

Taking log both sides we have;

\log y = \log b^x

Apply the logarithmic rule:

\log y = x \log b

Divide both sides by log b we have;

\frac{\log y}{\log b} = x

Apply the logarithmic rule:

\log_b y = x

or

x = \log_b y

Therefore, the equation in logarithmic form is, x = \log_b y

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Find all solutions of the equation algebraically. Use a graphing utility to verify the solutions graphically. (Enter your answer
Anuta_ua [19.1K]

Answer:

The solutions of the equation are 0 and 0.75.

Step-by-step explanation:

Given : Equation 16x^4 - 24x^3 +9x^2 =0

To find : All solutions of the equation algebraically. Use a graphing utility to verify the solutions graphically ?

Solution :

Equation 16x^4 - 24x^3 +9x^2 =0

x^2(16x^2-24x+9)=0

Either x^2=0 or 16x^2-24x+9=0

When x^2=0

x=0

When 16x^2-24x+9=0

Solve by quadratic formula, x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-(-24)\pm\sqrt{(-24)^2-4(16)(9)}}{2(16)}

x=\frac{24\pm\sqrt{0}}{32}

x=\frac{24}{32}

x=\frac{3}{4}

x=0.75

The solutions of the equation are 0 and 0.75.

For verification,

In the graph where the curve cut x-axis is the solution of the equation.

Refer the attached figure below.

7 0
3 years ago
Solve the equation 0.25 (8z - 4) = z + 8 - 2z
Andrew [12]
Distribute
2z-1=z+8-2z
add like terms
2z-1=-z+8
add z to both sides
3z-1=8
add 1 to both sides
3z=9
divide both sides by 3
z=3
4 0
3 years ago
Read 2 more answers
at the beginning of the day stock cuz opened at $7.25 at the end of the day it closed at $6.88 what is the rate change of stock
Vsevolod [243]
The absolute change is the difference: 6.88 - 7.25 = -0.37

The rate of change is that divided by the originalprice x 100

Ratre of change: (-0.37/7.25 )*100 = -4.93%

4 0
3 years ago
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irga5000 [103]

Answer:

60c

Step-by-step explanation:

12x6

10x6

hope i helped bud! ;)

3 0
3 years ago
According to a medical study, 15% of people will experience an adverse side effect
ahrayia [7]

Answer:

c

Step-by-step explanation: trust me

6 0
3 years ago
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