All categories

3 years ago

Part A: If (72)x = 1, what is the value of x? Explain your answer. (5 points)

Mathematics

1 answer:

vichka [17]3 years ago

7 0

Answer:

see below

Step-by-step explanation:

Part A: (72)^x = 1

Take the log base 72 of each side

log72(72^x) = log 72(1)

We know log a^b = b log a

x log72(72) = log72(1)

x = log72(1)

x = 0

Part A: (70)^x = 1

Take the log base 70 of each side

log70(70^x) = log70(1)

We know log a^b = b log a

x log70(70) = log70(1)

x = log70(1)

x = 0

You might be interested in

What is the quotient for 11/8 ÷ 3/4<br> And solve

Andrew [12]

Answer:

Decimal Form:

1.833333 (add a line over 3 because the answer is 1.83 repeated)

Mixed Number Form:

1 5/6

6 0

3 years ago

The temperature in Minnesota was -8°F one day. On the same day, the temperature was 12° higher in Indiana. What was the temperat

ahrayia [7]

Answer:

Step-by-step explanation:

-8 +12=4

there has to be 20 characters so thi is what I'm putting.

6 0

3 years ago

Read 2 more answers

Based on Exponentials and Logarithms

Anestetic [448]

I know that (5x+1)=3 is equal to x=2/5

which would give us 0.4

so just take 0.4 and round it to the nearest thousandth i believe

6 0

3 years ago

Which expression is equivalent to x^4 + 4x^2 - 45?

Nikitich [7]

Answer:

$( {x}^{2} - 5)( {x}^{2} + 9) = 0$

Step-by-step explanation:

The given expresion is

${x}^{4} + 4 {x}^{2} - 45 = 0$

We can rewrite this as:

$({ {x}^{2}) }^{2} + 4 {x}^{2} - 45 = 0$

We obtained a quadratic equation in x²

Let us split the middle term to get:

$({ {x}^{2}) }^{2} + 9 {x}^{2} - 5{x}^{2} - 45 = 0$

We factor by grouping to get:

${x}^{2} ( {x}^{2} + 9) - 5( {x}^{2} + 9) = 0$

We factor further to get:

$( {x}^{2} - 5)( {x}^{2} + 9) = 0$

The correct answer is A.

6 0

3 years ago

What is the answer to -7 =-5x+3

oee [108]

Answer:

-10=5x

Hope I Helped

3 0

3 years ago