Question

Log help? What is the solution of log2x-6 256=4?

Answer 1

X=-5
x=-4
x=4
x=5

Answer 2

\[\log_{2x-6}256=4 ~~~~~~?\]

Answer 3

yeah

Answer 4

\[\log_AB=C~~~~~~~~~--->~~~~~~~~~~~A^C=B\]

Answer 5

Is that the change of A rule? Where it makes it, 2x-6^4=256?

Answer 6

\[\log_{2x-6}256=4~~~~~->~~~~(2x-6)^4=256\]

Answer 7

\[(2x-6)^4=256\]\[(2x-6)^4=(~±~4)^2\]\[2x-6=~±~4\]
\[2x-6=4~~~~~~~~~~~or~~~~~~~~~~2x-6=-4\]\[2x=10~~~~~~~~~~~~~~~~or~~~~~~~~~~2x=2\]\[x=5~~~~~~~~~~~~~~~~~~~~or~~~~~~~~~~~x=1\]

Answer 8

Why do you replace the 256?