If logx≈0.698

, what is log(x⋅x⋅x)
?(1 point)
Responses

0.34
0 point 3 4

2.094
2 point 0 9 4

−2.094
negative 2.094

−0.34

1 answer

To find \( \log(x \cdot x \cdot x) \), you can use the properties of logarithms.

Since \( x \cdot x \cdot x = x^3 \), we can use the logarithmic identity:

\[ \log(a^b) = b \cdot \log(a) \]

Applying this to our expression:

\[ \log(x \cdot x \cdot x) = \log(x^3) = 3 \cdot \log(x) \]

Given that \( \log(x) \approx 0.698 \):

\[ \log(x^3) \approx 3 \cdot 0.698 = 2.094 \]

Thus, the answer is:

\[ \boxed{2.094} \]