Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
To determine the value of [tex]\( \log_4 12 \)[/tex], we need to find the exponent [tex]\( x \)[/tex] such that [tex]\( 4^x = 12 \)[/tex].
First, observe that [tex]\( \log_4 12 \)[/tex] can be transformed using the change of base formula:
[tex]\[ \log_4 12 = \frac{\log 12}{\log 4} \][/tex]
Here, [tex]\(\log\)[/tex] denotes the logarithm to the base 10, which is commonly available on calculators.
Next, let's compute this value:
[tex]\[ \log 12 \approx 1.08 \][/tex]
[tex]\[ \log 4 \approx 0.60 \][/tex]
Now, we divide these two values:
[tex]\[ \frac{1.08}{0.60} \approx 1.80 \][/tex]
After performing careful calculations, you will get the exact value. When rounded to two decimal places, the value of [tex]\( \log_4 12 \)[/tex] is:
[tex]\[ 1.79 \][/tex]
Therefore, the correct answer is:
[tex]\[ \boxed{1.79} \][/tex]
First, observe that [tex]\( \log_4 12 \)[/tex] can be transformed using the change of base formula:
[tex]\[ \log_4 12 = \frac{\log 12}{\log 4} \][/tex]
Here, [tex]\(\log\)[/tex] denotes the logarithm to the base 10, which is commonly available on calculators.
Next, let's compute this value:
[tex]\[ \log 12 \approx 1.08 \][/tex]
[tex]\[ \log 4 \approx 0.60 \][/tex]
Now, we divide these two values:
[tex]\[ \frac{1.08}{0.60} \approx 1.80 \][/tex]
After performing careful calculations, you will get the exact value. When rounded to two decimal places, the value of [tex]\( \log_4 12 \)[/tex] is:
[tex]\[ 1.79 \][/tex]
Therefore, the correct answer is:
[tex]\[ \boxed{1.79} \][/tex]
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.