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In-s [12.5K]
3 years ago
12

Rewrite the logarithm log8(2) as an exponential expression then find the value of the logarithm

Mathematics
2 answers:
I am Lyosha [343]3 years ago
5 0

Answer:

exponential expression:

8ᵇ = 2

log8(2) = 0.333333333 or 1/3

mojhsa [17]3 years ago
3 0

Answer:

log8(2) = 1/3

Step-by-step explanation:

I don't know if they mean this by an exponential expression but:

set x = log8(2), then

8^x = 8^(log8(2))

By logarithmic properties:

8^x = 2.

notice that 8 = 2^3.

By exponential properties:

8^x = (2^3)^x = 2^(3x)

So 2^(3x) = 2 = 2^1.

Comparing exponents gives:

3x = 1 <=> x = 1/3.

So log8(2) = 1/3.

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Beth normally cycles a total distance of 56 miles per week.
Vikki [24]

Answer:

She will cycle 85.169 miles in the third week.

(round if needed)

Step-by-step explanation:

56÷100=0.56 (this is 1%)

0.56 x 15 + 56 = 64.4 (you find 15% then add 56 (the original amount) because it's an increase of 15%)

repeat for the other 3 weeks

64.4÷100=0.644

0.644 x 15 + 64.4 = 74.06

74.06÷100=0.7406

0.7406 x 15 + 74.06 = 85.169

8 0
3 years ago
When converting between two measurement units, how can you tell which operation to use
Nadya [2.5K]
You need to see what you need to convert and how you need to convert it, do you need to divide to find out how many it goes in? Questions like that.
7 0
3 years ago
A water delivery truck is filling the water tank at Morgan's house. The truck arrived with 2400 L of water. The number of liters
Luda [366]

Answer:

11.81 minutes

Step-by-step explanation:

Here is a simple step-by-step explaination of how to solve this word problem:

Since the truck has 2,400L in it to begin with, the first part of our equation will be 2,400L

L = 2400L&#10;&#10;

Next we know that the water in the truck decreases at a <u>rate</u> of 110L/min, or <u>Liters per minute</u>.

So we will put that in the equation:

L = -110L + 2400L

Now that we have our equation set up, its time to solve.

To figure out how much water it needs to lose in <u>total</u> to end up with 1100 L left, we subtract 1,100 from 2,400.

2,400 - 1,100= 1,300&#10;&#10;

Now we can take that number and divide it by how many liters per minute were lost.

1,300/110=11.81

So the total amount of time it took for the truck to have 1,100 L left is 11.81 minutes. Your answer would be

B. L=-110t + 2400, t=11.8 min

Hope this helps! : )

3 0
2 years ago
Read 2 more answers
Ms. Lapido bought a car and pay for it $20.000.At the end of 10 years the car has no value whatsoever. Assuming that the car is
Leviafan [203]

Answer:

A) the value of the car will be 13,333.34 after 3 years ( not sure )

B) the depreciation of the car will be 2222.22 per year ( not sure)

C)  i do not know

4 0
3 years ago
1 + 1 express as fraction
lana66690 [7]

Answer: 2 over 1

Step-by-step explanation:

1+1=2

However we want this as a fraction

Any whole number as a fraction is just over one

Therefore the final answer is 2 over 1

You’re welcome Kaeya!

3 0
2 years ago
Read 2 more answers
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