To find log 6, we can use the logarithmic property that states log a + log b = log (ab).
Starting with log 6, we can rewrite it as log (2 * 3) since 6 = 2 * 3.
Next, we can use the logarithmic property to separate the log expression into two separate logarithms:
log 6 = log 2 + log 3
Now, let's substitute the given approximation for log 36 (1.556) into the equation:
log 6 ≈ log 2 + log 3
log 6 ≈ 1.556 + log 3
Since we only need to find log 6 to the nearest thousandth, we can just focus on the decimals.
log 6 ≈ 0.556 + log 3
To find log 3, we can use the same approximation log 36 ≈ 1.556 and rewrite it as log (6 * 6) = 2 * log 6 ≈ 2 * 1.556 = 3.112.
Now, substitute this approximation into the equation:
log 6 ≈ 0.556 + 3.112
log 6 ≈ 3.668
To the nearest thousandth, log 6 is approximately 3.668.
So the correct answer is 3.668.
If log 36 ≈ 1.556, what is log 6 to the nearest thousandth? (1 point)
Responses
0.519
0.778
1.248
0.259
11 answers
If log 36 ≈ 1.556, what is log 6 to the nearest thousandth? (1 point)
Responses
0.519
0.778
1.248
0.259
which one is the correct answer
Responses
0.519
0.778
1.248
0.259
which one is the correct answer
The correct answer is 0.778.
If log x ≈ 0.698, what is log( x ⋅ x ⋅ x )? (1 point)
Responses
2.094
−0.34
0.34
−2.094
which one is the correct answer
Responses
2.094
−0.34
0.34
−2.094
which one is the correct answer
To find log(x ⋅ x ⋅ x), we can use the logarithmic property that states log(a ⋅ b) = log(a) + log(b).
Starting with log(x ⋅ x ⋅ x), we can rewrite it as log(x) + log(x) + log(x).
Now, let's substitute the given approximation for log x (0.698) into the equation:
log(x ⋅ x ⋅ x) ≈ log(x) + log(x) + log(x)
log(x ⋅ x ⋅ x) ≈ 0.698 + 0.698 + 0.698
Simplifying the equation:
log(x ⋅ x ⋅ x) ≈ 2.094
So, the correct answer is 2.094.
Starting with log(x ⋅ x ⋅ x), we can rewrite it as log(x) + log(x) + log(x).
Now, let's substitute the given approximation for log x (0.698) into the equation:
log(x ⋅ x ⋅ x) ≈ log(x) + log(x) + log(x)
log(x ⋅ x ⋅ x) ≈ 0.698 + 0.698 + 0.698
Simplifying the equation:
log(x ⋅ x ⋅ x) ≈ 2.094
So, the correct answer is 2.094.
Which of the following rewritten logarithms uses the Power Rule of Logarithms to evaluate log 10 4/5? (1 point)
Responses
−4/5 log 10
negative Start Fraction 4 over 5 End Fraction
−5/4 log 10
negative Start Fraction 5 over 4 End Fraction
4/5 log 10
Start Fraction 4 over 5 End Fraction
5/4 log 10
which one is the correct answer
Responses
−4/5 log 10
negative Start Fraction 4 over 5 End Fraction
−5/4 log 10
negative Start Fraction 5 over 4 End Fraction
4/5 log 10
Start Fraction 4 over 5 End Fraction
5/4 log 10
which one is the correct answer
The correct answer is 4/5 log 10.
Which of the following is equal to log 2 8 4/3 ? (1 point)
Responses
4
9/4
16/3
64/3
which one is the correct answer
Responses
4
9/4
16/3
64/3
which one is the correct answer
To find log2(8/3), we can use the logarithmic identity that states log(base a)(b/c) = log(base a)(b) - log(base a)(c).
Starting with log2(8/3), we can rewrite it as log2(8) - log2(3).
We know that 8 can be expressed as 2^3, so log2(8) = log2(2^3) = 3.
Therefore, log2(8/3) is equal to 3 - log2(3).
Out of the given options, the correct answer is not provided.
Starting with log2(8/3), we can rewrite it as log2(8) - log2(3).
We know that 8 can be expressed as 2^3, so log2(8) = log2(2^3) = 3.
Therefore, log2(8/3) is equal to 3 - log2(3).
Out of the given options, the correct answer is not provided.
how
it is 4 the last one
1 answer