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bazaltina [42]
3 years ago
15

Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?

Mathematics
2 answers:
krok68 [10]3 years ago
8 0
4^{x} = 64

By taking <span>logarithmic of base 10

∴ </span><span>log 4^{x} = log 64

∴ x log 4 = log 64

∴ x =  \frac{log \ 64}{log \ 4}

∴ The correct choice is
</span><span>x = log base 10 of 64, all over log base 10 of 4</span>
Karolina [17]3 years ago
6 0
The correct answer is <span><u>x = log base 10 of 64, all over log base 10 of 4.</u></span>
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Question 3
Sladkaya [172]

Answer:

(x+6)(x+2) is the factored equation

(-6, -2) is the coordinates

Step-by-step explanation:

find what multiplies to be 12 and adds to be 8

set each factor equal to 0 and solve for x, which is the coordinates

5 0
3 years ago
Multiply 3 1/2 x 3 1/2 what is it ???
Andrej [43]

Answer:

12 1/4

Step-by-step explanation:

convert fractionj into decimals then cvert product into fraction

6 0
3 years ago
Read 2 more answers
Solve for X in the given interval. sec x = -2sr3/3, for pi/2 less than or equal to x less than or equal to pi
notsponge [240]

Answer:

B

Step-by-step explanation:

Using the trig. identity

cos x = \frac{1}{secx}

Given

secx = - \frac{2\sqrt{3} }{3} , then

cos x = - \frac{3}{2\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } = - \frac{3\sqrt{3} }{6} = - \frac{\sqrt{3} }{2} , thus

x = cos^{-1} (- \frac{\sqrt{3} }{2} ) = \frac{5\pi }{6} → B

6 0
3 years ago
System A
Sonbull [250]

1.  System B from System A by replacing one equation with itself where the same quantity is added to both sides

2. Yes, both system A and system B are equivalent and therefore has the same solution

<h3>How to prove the statements</h3>

System A

x − 4y= 1

5x + 6y= −5

System B

x = 1+4y

5x + 6y= −5

1. System B can be gotten from system A by

from the first equation of A

x − 4y= 1

Make 'x' subject of formula

x = 1 + 4y

This makes it equal to tat of system B

Thus, replacing one equation with itself where the same quantity is added to both sides

2. System A

x = 1 + 4y

5x + 6y= −5

System B

x = 1 + 4y

5x + 6y= −5

From the above equations, we can see that both system A and system B are equivalent and therefore has the same solution.

Learn more about linear equations here:

brainly.com/question/4074386

#SPJ1

4 0
2 years ago
Clare knows that Priya has a bunch of nickels and dimes in her pocket and that the total amount is $1.25. Find one possibility f
jeka57 [31]

Answer:5x + 10y = 125

Step-by-step explanation

Number of nickel = x

Number of dime = y

Nickel = 5 cent

Dime = 10 cent

Total value = $1.25

Total value should be converted to cent since both dime and nickel are both in cent

= $1.25 * 100 = 125 cents

Therefore,

5x + 10y = 125 cents

6 0
2 years ago
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