Question

Evaluate the expression.
log4 (x-7)=3

X= 71
X= 19
x = 57

Answer 1

x = 71

Explanation:

using the rule of logarithms

`log_(b)` x = n ⇒ x =
`b^(n)`

then

`log_(4)` (x - 7) = 3 , then

x - 7 = 4³ = 64 ( add 7 to both sides )

x = 71