Question

Solve:

Answer 1

http://www.webassign.net/latexImages/e/3/43ecbcb35f5aa7bd657f155fff8ef4.gif

Answer 2

x=

Answer 3

(log 256 / log 1024 + 4)/3

Answer 4

this is what i got but im wrong... log1024(260) / 3

Answer 5

wait hold on
10(3x-4)=8
x=8/5

Answer 6

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

Answer 7

thats right but im a little confused

Answer 8

this is what happens: when you have the exact same bases (it's 2 in the problem)
you can focus on just setting the exponents equal to each other

Answer 9

how would i know that

Answer 10

i converted \[1024^{3x-4}\] to \[2^{10(3x-4)}\] since 1024=2^10
i did the same with 256 since 2^8=256

Answer 11

well I'm teaching you

Answer 12

yeah i know u did but i would never come to that conclusion when i look at this prob

Answer 13

Sometimes you have to look at a problem from a different angle. I saw that 1024 and 256 were powers of 2 so I converted. It just takes some practice and experimentation.

Answer 14

can it be solved without doing what u did?

Answer 15

\[\log{1024^{3x-4}} = \log_{}2 \times 10(3x-4)\]
log256 = 8log2
8log2 = 10(3x-4) log2
8=10(3x-4)
do the same as I did

Answer 16

i meant without raising anything to any power

Answer 17

well the one i just did didn't raise anything to the power. I just took the log of both sides and divided by log2 and solved.

Answer 18

im still a little confused but ill get this down eventually... thanks for all the help

Answer 19

no problem. good luck!