Question

solve log 144 to the base 12 usind log table

Answer 1

Generically symbolically we have the following definition of logarithm:
$log_{b} \:a = x\:\to\:b^x=a$
For the positive real numbers a and b, with b ≠ 1, it is called logarithm of a in base b the real exponent x, such that $b^x = a$

By adopting the above statement, we have:
$log_{12} \:144 = x\:\to\:12^x=12^2$
$12^x=12^2$
$\boxed{\boxed{x = 2}}\end{array}}\qquad\quad\checkmark$