Question

If 2^x=8^x-6,then what is the value of x?

Answer 1

Hint:

\(2^x = 2^{3(x-6)}\)

Answer 2

8^x can be written as (2^3)^x
2x=23(x−6)
as bases r equal equate powers

Answer 3

Hero this Hint does not help me

Answer 4

2nd Hint: Since the bases are the same equate the exponents, then solve for x:
\(x = 3(x-6)\)

Answer 5

where did you got the 3

Answer 6

\(2^3 = 8\)

Answer 7

Still confused?

Answer 8

hold on im solving this

Answer 9

8^x-6 can be written as (2^3)^x-6 (a^m )^n =a^mn

Answer 10

2^x=2^3(x−6)
as bases r equal equate powers
x=3(x−6)
n proceed

Answer 11

THe answer is 9

Answer 12

yes well done

Answer 13

yayyy

Answer 14

\[8^{x-6}\quad\mbox{or}\quad 8^{x}-6\]