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Archy [21]
3 years ago
5

(3Q) Evaluate the logarithm.

Mathematics
2 answers:
KiRa [710]3 years ago
8 0

ANSWER

a. \:  \frac{5}{3}

EXPLANATION

The given logarithm is

log_{8}(32)

Rewrite both the base and the number as a power to base 2.

log_{8}(32) =  log_{ {2}^{3} }( {2}^{5} )

Use the following property:

log_{ {a}^{q} }( {a}^{p} )  =  \frac{p}{q}

This implies that,

log_{8}(32) =  log_{ {2}^{3} }( {2}^{5} )  =  \frac{5}{3}

Aleonysh [2.5K]3 years ago
3 0

Answer:

a. 5/3

that's your answer

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Answer:

The rational numbers (ℚ) are included in the real numbers (ℝ), while themselves including the integers (ℤ), which in turn include the natural numbers (ℕ)

Step-by-step explanation:

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3 years ago
Solve for h and c to find what h and c equals; 34.50=4h+7c and 30.50=8h+3c
Irina18 [472]
34.5=4h+7c
(34.5-7c)/4=h
Put h= (34.5-7c)/4 into another equation
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4 0
3 years ago
Pls Help! John wants to prove ABC = to DEF. He Knoes AB = DE and AC = DF. With Screenshot
matrenka [14]

Answer:

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Step-by-step explanation:

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Thus, since John already knows that \overline{AB} \cong \overline{DE} and \overline{AC} \cong \overline{DF}, therefore, an additional information showing that the angle between \overline{AB} and \overline{DE} in ∆ABC is congruent to the angle between \overline{AC} and \overline{DF} in ∆DEF.

For John to prove that ∆ABC is congruent to ∆DEF using the Side-Angle-Side method, the additional information needed would be \angle A \cong \angle D.

See attachment for the diagram that has been drawn with the necessary information needed for John to prove that ∆ABC is congruent to ∆DEF.

7 0
3 years ago
PLEASE HELP!! WILL MARK BRAINLIEST! NO ONE HAS BEEN ABLE TO HELP!
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Answer:  A


Step-by-step explanation:

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Now if we see the 2nd year on x-axis its corresponding value of dollar on y-axis is at 6 dollars .

It concluded that after each year 0.5 dollars per pound increases.

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4 0
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