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If log3(9) + log3(3) = x, what is the value of x?
If log3(9) + log3(3) = x, what is the value of x?
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Q1
If log3(9) + log3(3) = x, what is the value of x?
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log3(9) = 2 and log3(3) = 1, so x = 2 + 1 = 3.
Questions & Step-by-step Solutions
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Q: If log3(9) + log3(3) = x, what is the value of x?
Solution:
log3(9) = 2 and log3(3) = 1, so x = 2 + 1 = 3.
Steps: 7
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Step 1: Understand that log3(9) means 'to what power do we raise 3 to get 9?'
Step 2: Since 3 raised to the power of 2 equals 9, we have log3(9) = 2.
Step 3: Next, understand that log3(3) means 'to what power do we raise 3 to get 3?'
Step 4: Since 3 raised to the power of 1 equals 3, we have log3(3) = 1.
Step 5: Now, add the two results together: 2 (from log3(9)) + 1 (from log3(3)).
Step 6: Calculate 2 + 1, which equals 3.
Step 7: Therefore, the value of x is 3.
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