To solve this inequality, we need to first simplify it by using the properties of logarithms. Let's start by expressing the inequality in exponential form:
2^(log2 x) < 2^(log2(x-12))
By the property of logarithms, log_a(b) = c is equivalent to a^c = b.
So, we have:
x < x - 12
Now, let's solve for x:
x < x - 12
0 < -12
Since this last statement is not true, the inequality log2 x < log2(x - 12) has no solution.
To solve this inequality, we need to first simplify it by using the properties of logarithms. Let's start by expressing the inequality in exponential form:
2^(log2 x) < 2^(log2(x-12))
By the property of logarithms, log_a(b) = c is equivalent to a^c = b.
So, we have:
x < x - 12
Now, let's solve for x:
x < x - 12
0 < -12
Since this last statement is not true, the inequality log2 x < log2(x - 12) has no solution.