Logs: Solving logarithmic equation log_4 x - log_4 6 = 3

[JeffM]

At the level of math that you are trying to work at, you have to be very careful about notation.

log_4(x) means $\displaystyle log_4(x).$

log4x means either $\displaystyle log_{10}(4x)$ or $\displaystyle ln(4x).$

Here is a very basic rule that will help you with many log and exponential hint for equations:

$\displaystyle log_a(x) = b \iff x = a^b.$