Question
simplify log2 16d
Answers
GPT-4o mini
To simplify \( \log_2(16d) \), you can use the properties of logarithms.
1. The logarithm of a product is the sum of the logarithms:
\[
\log_2(16d) = \log_2(16) + \log_2(d)
\]
2. Next, simplify \( \log_2(16) \). Since \( 16 \) can be expressed as \( 2^4 \):
\[
\log_2(16) = \log_2(2^4) = 4
\]
3. Now, substitute back into the expression:
\[
\log_2(16d) = 4 + \log_2(d)
\]
So, the simplified expression is:
\[
\log_2(16d) = 4 + \log_2(d)
\]
1. The logarithm of a product is the sum of the logarithms:
\[
\log_2(16d) = \log_2(16) + \log_2(d)
\]
2. Next, simplify \( \log_2(16) \). Since \( 16 \) can be expressed as \( 2^4 \):
\[
\log_2(16) = \log_2(2^4) = 4
\]
3. Now, substitute back into the expression:
\[
\log_2(16d) = 4 + \log_2(d)
\]
So, the simplified expression is:
\[
\log_2(16d) = 4 + \log_2(d)
\]