Question

log base 5 (x-4)=0 how do i solve this?

Answer 1

log(1) = 0

Answer 2

can you explain how you got that?

Answer 3

if need be, base 5 each side

x-4 = 1

Answer 4

Convert it into exponential form

Answer 5

its a property of logs ....

Answer 6

X=5, by converting 5^0=x-4 as 5^0is 1

Answer 7

let there be a function such that:

L(ab) = L(a) + L(b)

define a*1

L(a*1) = L(a) + L(1)

L(a) = L(a) + L(1)

L(a) - L(a) = L(1)

0 = L(1)

Answer 8

Got it! thank you so much!