Question
If logx≈0.698
, what is log(x⋅x⋅x)
?(1 point)
Responses
−2.094
negative 2.094
0.34
0 point 3 4
2.094
2 point 0 9 4
−0.34
, what is log(x⋅x⋅x)
?(1 point)
Responses
−2.094
negative 2.094
0.34
0 point 3 4
2.094
2 point 0 9 4
−0.34
Answers
GPT-4o mini
To find \( \log(x \cdot x \cdot x) \), we can use the properties of logarithms.
The expression \( x \cdot x \cdot x \) is the same as \( x^3 \).
Using the logarithmic property \( \log(a^b) = b \cdot \log(a) \), we can write:
\[
\log(x^3) = 3 \cdot \log(x)
\]
Given that \( \log(x) \approx 0.698 \), we can substitute this value into our equation:
\[
\log(x^3) \approx 3 \cdot 0.698
\]
Calculating this gives:
\[
3 \cdot 0.698 = 2.094
\]
Therefore, \( \log(x \cdot x \cdot x) \) is approximately \( 2.094 \).
The correct response is:
**2.094**
The expression \( x \cdot x \cdot x \) is the same as \( x^3 \).
Using the logarithmic property \( \log(a^b) = b \cdot \log(a) \), we can write:
\[
\log(x^3) = 3 \cdot \log(x)
\]
Given that \( \log(x) \approx 0.698 \), we can substitute this value into our equation:
\[
\log(x^3) \approx 3 \cdot 0.698
\]
Calculating this gives:
\[
3 \cdot 0.698 = 2.094
\]
Therefore, \( \log(x \cdot x \cdot x) \) is approximately \( 2.094 \).
The correct response is:
**2.094**