Step 1: Understand what log2(32) means. It asks for the power to which 2 must be raised to get 32.
Step 2: Find out what 32 is in terms of powers of 2. We know that 32 = 2 multiplied by itself 5 times (2 * 2 * 2 * 2 * 2).
Step 3: Write 32 as a power of 2. This gives us 32 = 2^5.
Step 4: Now, substitute this back into the logarithm. So, log2(32) = log2(2^5).
Step 5: Use the property of logarithms that says logb(b^x) = x. Here, b is 2 and x is 5.
Step 6: Therefore, log2(2^5) = 5.
Logarithms – Understanding the relationship between exponents and logarithms, specifically how to express a number as a power of its base.
Base of Logarithm – Recognizing that the base of the logarithm (in this case, 2) determines the power to which the base must be raised to obtain the number (32).
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