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If log_2(8) + log_2(4) = x, what is the value of x?
If log_2(8) + log_2(4) = x, what is the value of x?
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If log_2(8) + log_2(4) = x, what is the value of x?
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log_2(8) = 3 and log_2(4) = 2, thus x = 3 + 2 = 5.
Questions & Step-by-step Solutions
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Q: If log_2(8) + log_2(4) = x, what is the value of x?
Solution:
log_2(8) = 3 and log_2(4) = 2, thus x = 3 + 2 = 5.
Steps: 7
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Step 1: Understand that log_2(8) means 'to what power do we raise 2 to get 8?'
Step 2: Calculate log_2(8). Since 2^3 = 8, we find that log_2(8) = 3.
Step 3: Next, understand that log_2(4) means 'to what power do we raise 2 to get 4?'
Step 4: Calculate log_2(4). Since 2^2 = 4, we find that log_2(4) = 2.
Step 5: Now, add the two results together: log_2(8) + log_2(4) = 3 + 2.
Step 6: Calculate the sum: 3 + 2 = 5.
Step 7: Therefore, the value of x is 5.
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