Question

What is the logarithmic form of 6^3=214??

Answer 1

Just understand that $log_a(c)=b$ means b is the power to which a must be raised to obtain c or  $a^b=c$

so

$6^3=216$ means that b is the power to which a must be raised to obtain c or $log_6(216)=3$

Answer 2

Convert the exponential equation to a logarithmic equation using the logarithm base (6) of the right side (214) equals the exponent (3).

$log_{6} (214)=3$ 

I hope this helps c: