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Romashka-Z-Leto [24]
3 years ago
5

Use the Change of Base Formula to evaluate log5 92. Then convert log5 92 to a logarithm in base 3. Round to the nearest thousand

th.
Mathematics
2 answers:
ANTONII [103]3 years ago
6 0
I was thinking that the answer  could be 

2.810; log3 21.903
         
            OR


<span> 2.810; log3 55.2 </span>

So,<span> log5 of 92 is between 2.5 and 3  Correct answer is A</span>

dusya [7]3 years ago
5 0

Answer:

\log_5 92=2.809

\log_3 2.809=0.940

Step-by-step explanation:

To find : Use the Change of Base Formula to evaluate \log_5 92.

Then convert \log_5 92 to a logarithm in base 3.

Solution :

Change of Base Formula,

\log_b x=\frac{log_a x}{\log_a b}

Applying this,

\log_5 92=\frac{log 92}{\log 5}

\log_5 92=\frac{1.963}{0.698}

\log_5 92=2.809

Now, converting \log_5 92 to a logarithm in base 3

\log_3 2.809=\frac{log 2.809}{\log 3}

\log_3 2.809=\frac{0.448}{0.477}

\log_3 2.809=0.940

Therefore, The solution is \log_3 2.809=0.940

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DerKrebs [107]

Answer:

Option 4 is correct.

The equation 4x^2 -24x + 4y^2 + 72y = 76 is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

Step-by-step explanation:'

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First group the terms with x and those with y;

(4x^2-24x)+(4y^2+72y) = 76

Next, we complete the squares.

We can do this by adding a third term such that the x terms and the y terms are perfect squares.

For this we must either add the same value on the other side of the equation or subtract the same value on the same side so that the equality is maintained.

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Add 360 on both sides we get;

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