Find x If logx = log 1.5 + log 12a)12b)8c)18d)15Correct answer is opti...
Solution:
Given, log x = log 1.5 + log 12
Using the property of logarithms, i.e., log a + log b = log ab, we can write
log x = log (1.5 × 12)
log x = log 18
Taking antilogarithm on both sides, we get
x = 18
Therefore, the correct option is C.
Explanation:
To solve this problem, we need to use the properties of logarithms. The given equation can be simplified by using the property of addition of logarithms.
We know that log a + log b = log (ab)
So, we can write log x = log (1.5 × 12)
Now, we need to simplify the expression on the right-hand side. We know that 1.5 × 12 = 18.
So, we can write log x = log 18.
To find the value of x, we need to take antilogarithm on both sides of the equation.
Antilogarithm of log 18 is equal to 18.
Therefore, the value of x is 18.
Final answer: The correct option is C.