Question

log (x – 5) + log 2 = 1.

∴ The value of x is ______.

पर्याय

• 6

• 8

• 9

• 10

Answer 1

∴ 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