Question

2^4x=8^3x-10

Answer 1

I got -10.209

Answer 2

Can you explain how.

Answer 3

I think i either did something wrong or used a wrong log rule

Answer 4

is the -10 part of the exponent or not?

Answer 5

yeah it is

Answer 6

\[2^{4x}=8^{3x-10}\]
\[2^{4x}=(2^{3})^{3x-10}\]
\[2^{4x}=2^{3(3x-10)}\]
\[2^{4x}=2^{9x-30}\]
4x=9x-30
9x-4x=30
5x=30
x=30/5=6
x=6