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 * log_4(4).

Step 4: The log base 4 of 4 is 1, so the expression simplifies to -2 * 1.

Step 5: Therefore, log base 4 of 1/16 is -2.

Question

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 * log_4(4).

Step 4: The log base 4 of 4 is 1, so the expression simplifies to -2 * 1.

Step 5: Therefore, log base 4 of 1/16 is -2.

Knowee AI · Accepted Answer

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 * log_4(4).

Step 4: The log base 4 of 4 is 1, so the expression simplifies to -2 * 1.

Step 5: Therefore, log base 4 of 1/16 is -2.

What is the value of log, base, 4, start fraction, 1, divided by, 16, end fractionlog 4 161 ?