what is the solution of logₓ729 = 3?\n6\n9\n18\n81

Explanation:

Step1: Use log - exponent conversion

By the definition of logarithms, if $\log_{x}729 = 3$, then $x^{3}=729$.

Step2: Solve for x

We need to find the cube - root of 729. Since $9\times9\times9 = 729$, so $x = 9$.

Answer:

B. 9