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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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Can you please help me with this! It's due in a couple hours.
castortr0y [4]

Answer:

f(2) = -5

Step-by-step explanation:

A point (x, y) lying on a function represents output value (y-value) of the function for any input value (x-value).

In other words y = f(x) for any input value of 'x'.  

From the graph attached,

For the input value x = 2,

Output value of the function is y = -5

Therefore, f(2) = -5 will be the answer.

5 0
3 years ago
Two liquids Kaylin mixed two liquids for science experiment one container had 7/8 Cup and the other health 9/10 cup what is the
seraphim [82]

Answer:

Step-by-step explanation:

<em>Step 1: Determine quantity per liquid</em>

liquid 1=7/8 cup

liquid 2=9/10 cup

<em>Step 2: Derive expression to calculate total amount of mixture</em>

The expression below can be derived;

T=a+b

where;

T=total amount of mixture

a=total amount of liquid 1

b=total amount of liquid 2

In our case;

a=7/8 cup

b=9/10 cup

replacing;

T=(7/8)+(9/10)=1 31/40 cups

The total amount of mixture=1 31/40 cups

3 0
3 years ago
Who is taller 180 cm or 5ft 8in.
sveticcg [70]
180 cm is taller because 5ft 8in =  172.72 cm
3 0
3 years ago
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Help please :) I will show the next questions in the other one so please answer them.
Yuki888 [10]

Answer:

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Step-by-step explanation:

6 0
3 years ago
At a rate of 4%, you paid $144.00 in interest over a two-year period. What was the original amount of your loan?
baherus [9]
Principal is the same as original amount. 
<span>1. You convert the rate % to a decimal number. (divide by 100) </span>

<span>2. Substitute: </span>

<span>P = 144 / (.04 x 2) </span>

<span>3. Solve: </span>

<span>P = 144 / .08 </span>
<span>P = 1,800 </span>

<span>4. Your answer is $1,800</span>
6 0
3 years ago
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