Question

write the following equation in its equivalent logarithmic form 14^3=x

Answer 1

\[14^3=x\]
taking the log of both sides
\[\ln(14^3)=\ln x\]
\[3\ln(14)=\ln x\]

Answer 2

Alternatively,\[\log_{14} (x)=3\]is also correct if you take log base 14.

Answer 3

Logarithms are exponents.

Attached is a definition of logs. Learn it so that you can easily move between the two forms.

Answer 4

In the expression 14^3=x, Three is the exponent. So, ______________ = 3
The base of the exponential expression 14^3 is 14. So, log base 14 ____ = 3.

The only place left for the X is in the remaining blank. So, log base 14 of x = 3.
The 14 is a subscript as written above by KingGeorge.