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3 years ago

Solve: log5x3 - logx? = 2

Mathematics

2 answers:

garri49 [273]3 years ago

7 0

Answer:

If you need the answeres to the whole assignment

Step-by-step explanation:

1. Consider 8^x-4 = 8^10

Because the (blank a) are equal , the (blank b) must also be equal.

Answer: Bases, Exponents

The solution to the equation is 14

2.What equation is equivalent to 9^(x-3)=729?

Answer 3^x - 3 = 3^6

Solve: 9x - 3 = 729

Answer: x = 6

3. To solve 5(2^x+4)=15, first divide each side by

Answer: 5

Solve 5(2^x+4) = 15. Round to the nearest thousandth.

Answer: -2.415

4. Which of the following is the solution of 5e^2x- 4 = 11?

Answer: x=In3/2

5. Select all of the potential solution(s) of the equation 2log5x = log54.

Answer: 2,-2

What is the solution to 2log5x = log54?

Answer: 2

6. Which equation is equivalent to log5x3 - logx2 = 2?

Answer: 10^log5^3/x^2=10^2

Solve: log5x3 - logx2 = 2

Answer: 20

7. What is the solution to ln (x2 - 16) = 0?

Answer: x=+-(17)

8. Solve: ln 2x + ln 2 = 0

Answer: ¼

Solve: e^ 2x+5 = 4

Answer: x=(In4) - 5/2

9. Consider the equation log(3x - 1) = log2(8). Explain why 3x - 1 is not equal to Describe the steps you would take to solve the equation, and state what 3x - 1 is equal to.

Answer: The bases are not the same, so you cannot set 3x - 1 equal to 8.You can evaluate the logarithm on the right side of the equation to get .You can use the definition of a logarithm to write 3x - 1 = 1000.

10. An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e^0.05t = 150 represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use your calculator and round to the nearest whole number.

Answer: 8

allochka39001 [22]3 years ago

5 0

Answer:

x = 2√5

Step-by-step explanation:

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What is an expression to represent the equation

Tatiana [17]

Answer:

8 + $\frac{x}{4}$

Step-by-step explanation:

I'm assuming you want an answer to the top section of the question.

We can start with 8.

When a problem asks for the sum, it's looking for addition, so we use the + sign.

8 +

The problem says "a number," so let's represent that with x. Basically, x just means a number we don't know.

8 + x

The "number" is divided by 4, so we'll just put x/4 as our second term.

8 + $\frac{x}{4}$

7 0

4 years ago

A clown has 54 purple balloons and 36 orange balloons. The clown arranges the balloons into groups that have the same ratio of p

ExtremeBDS [4]

I'd prefer 5/7 because both numbers would be in decimals and you dont need decimals

4 0

3 years ago

The temperature is 21°C below zero.

QveST [7]

Answer:

B. -21

Step-by-step explanation:

The keyword we have is "below zero". When using the term "below zero" to describe an integer, this means the integer would be a NEGATIVE number. The temperature is 21 degrees below zero meaning its integer form is -21.

6 0

3 years ago

1 point

spayn [35]

well, what we do is, simply get the area of the containing rectangle, is an 8x10, and then get the area of the circle, with a radius of half of 4.3 or r = 2.15, and then if we subtract the area of the circle from the rectangle's, what's leftover is the shaded part.

$\stackrel{\textit{\large Areas}}{\stackrel{rectangle's}{(8\cdot 10)}~~-~~\stackrel{circle's}{[\pi (2.15)^2]}}\implies 80-4.6225\pi ~~\approx~~65.5$

5 0

3 years ago

PLEASE HELP

77julia77 [94]

Answer:

The answer to your question is:

p₁ = - 2 + $\sqrt{-2}$

p₂ = -2 - $\sqrt{-2}$

Step-by-step explanation:

p² + 4p = -6

p² + 4p + (2)² = - 6 + (2)²

(p + 2)² = - 2

p + 2 = ± $\sqrt{-2}$

p = -2 ± $\sqrt{-2}$

p₁ = - 2 + $\sqrt{-2}$ p₂ = -2 - $\sqrt{-2}$

4 0

4 years ago