What is the value of log, base, 4, start fraction, 1, divided by, 16, end fractionlog 4 161 ?
Question
Solution 1
The value of log base 4 of 1/16 can be found by using the property of logarithms that says log_b(a^n) = n * log_b(a).
Step 1: Recognize that 16 is 4^2. So, 1/16 is the same as 4^-2.
Step 2: Substitute 4^-2 into the logarithm: log_4(4^-2).
Step 3: Use the property of logarithms to simplify: -2 * Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
Similar Questions
What is the value of log, base, 4, start fraction, 1, divided by, 16, end fractionlog 4 161 ?
What is the value of log, base, 2, start fraction, 1, divided by, 64, end fractionlog 2 641 ?
Evaluate:log, base, 64, start fraction, 1, divided by, 32, end fractionlog 64 321
start fraction, x, minus, 7, divided by, x, minus, 4, end fraction, equals, start fraction, 5, divided by, x, end fractionx−4x−7 =x5
What is the value of log, base, 5, start root, start index, 4, end index, 5, end rootlog 5 4 5 ?