What is the solution of log4x − 1032 = 5?

x = 3.

Explanation:

The expression is miswritten.

I am going to try to show it correctly writen  using the math editor:



Just to be sure that it is understandable, the expression is read: logarithm base (4x - 10) of 32 equals 5.

To solve it, you take antilogarithm:

[4x - 10]^5 = 32

Now decompose 32 in 2^5

=> [4x - 10]^5 = 2^5

=> 4x - 10 = 2

=> 4x = 12

=> x = 12 / 4 = 3

x = 3