What is the solution to 4log4(x+8)=4^2

Assuming that's log base 4

4log4(x+8) = 4^2
log4(x+8) = 4^2/4
log4(x+8) = 4
x+8 = 4^4
x+8 = 256
x = 256 - 8
x = 248

ANSWER



EXPLANATION

The given logarithmic equation is,



We divide through by 4 to get,



Let us take the antilogarithm of both sides to base 4 to obtain,



We evaluate the expression on the right hand side to obtain,



We group like terms to obtain,



This simplifies to,


The value of x is 248.