The correct expression for A in the given problem is option C:
Let's rewrite
as
and then compare it to the given options:
Now, let's express 1.44 in terms of A:
Now, let's substitute this value of A back into the original equation:
Now, compare this expression with the provided options:
Certainly! Let's rewriteB.
as Ax:
A=1.44^{(-1.2)} - AX
Now, let's take the natural logarithm (ln) of both sides to simplify the exponent
In (¹.⁴⁴¹.²ˣ) - In (Ax)
Using the property In ⁽ᵃᵇ⁾ -b In(a) we can bring down the exponent:
1.2xln(1.44)=xln(A)
Now, solve for A: n(A)= 1.2ln(1.44/1)
ln(A)=0.1392
Now, exponentiate both sides to solve for A:
A=e 0.1392
So, A is approximately equal to:
A≈1.1496
Therefore, when you rewrite ¹.⁴⁴¹.²ˣ as ᴬ, the value of A is approximately 1.1496.