Question

6* 8^(x+1) = 2^x

Answer 1

take ln of both sides

Answer 2

i know that but i could do anything after taking the ln

Answer 3

well you might wanna use change of base formula to get the bases to same base

Answer 4

so there is 6 time 8 on exponent ... ?

Answer 5

or what is 6 there ?

Answer 6

it is just 6 times 8 exponent of x+1

Answer 7

can you writing 8 like power of 2 , 2 on exponent ?

Answer 8

what ?

Answer 9

Easier way: manipulate it a bit first.\[
6\cdot8^{x+1}=2^x\\
6\cdot8\cdot8^x=2^x\\
48\cdot2^{3x}=2^x\\
48=\frac{2^x}{2^{3x}}\\
48=2^{-2x}\\
-2x=\log_248
\]

Answer 10

You can finish it from there, right @Williamskates ?

Answer 11

ok but where is 2^x from numerator ?

Answer 12

yeah thanks

Answer 13

@jhonyy9 i dont know what are you taking about dude

Answer 14

ok i see it now ,is right

Answer 15

good luck

bye