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Question
log (x – 5) + log 2 = 1.
∴ The value of x is ______.
Options
6
8
9
10
MCQ
Fill in the Blanks
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Solution
∴ The value of x is 10.
Explanation:
log(x – 5) + log 2 = 1
Step 1: Apply the logarithmic rule:
log a + log b = log (ab)
log[2(x – 5)] = 1
Step 2: Convert to exponential form:
2(x – 5) = 101
2(x – 5) = 10
Step 3: Solve for x:
`x - 5 = 10/2`
x – 5 = 5
x = 5 + 5
x = 10
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