Pinky1234
Help Please. 4^2x+3=1



This Question is Closed

Pinky1234
Best Response
You've already chosen the best response.
1
I need help badly in couple of questions, someone please help!!

jim_thompson5910
Best Response
You've already chosen the best response.
1
is the problem
\[\Large 4^{2x}+3=1\]
OR
is it
\[\Large 4^{2x+3}=1\]

Pinky1234
Best Response
You've already chosen the best response.
1
yeah that second one

jim_thompson5910
Best Response
You've already chosen the best response.
1
Hint:
\[\Large 4^{2x+3}=1\]
\[\Large 4^{2x+3}=4^0\]

Pinky1234
Best Response
You've already chosen the best response.
1
so we are not using that 1?

jim_thompson5910
Best Response
You've already chosen the best response.
1
we are, just a different form of it
4^0 is the same as 1

Pinky1234
Best Response
You've already chosen the best response.
1
ok

jim_thompson5910
Best Response
You've already chosen the best response.
1
the bases are the same (4)
so the exponents must be the same

jim_thompson5910
Best Response
You've already chosen the best response.
1
so
2x + 3 = 0

Pinky1234
Best Response
You've already chosen the best response.
1
yup i Got the answer thanks :)

jim_thompson5910
Best Response
You've already chosen the best response.
1
ok great

Pinky1234
Best Response
You've already chosen the best response.
1
can you please help me with couple of them too?

jim_thompson5910
Best Response
You've already chosen the best response.
1
sure a few more

Pinky1234
Best Response
You've already chosen the best response.
1
ok here is another one

Pinky1234
Best Response
You've already chosen the best response.
1
\[10^{3x}\times10^{x}=\frac{ 1 }{ 10 }\]

jim_thompson5910
Best Response
You've already chosen the best response.
1
\[10^{3x}\times10^{x}=\frac{ 1 }{ 10 }\]
\[10^{3x}\times10^{x}=10^{1}\]
\[10^{3x+x}=10^{1}\]
I'll let you finish

Pinky1234
Best Response
You've already chosen the best response.
1
ok

jim_thompson5910
Best Response
You've already chosen the best response.
1
what do you get

Pinky1234
Best Response
You've already chosen the best response.
1
\[x=\frac{ 1 }{ 2 }\]

Pinky1234
Best Response
You've already chosen the best response.
1
I need help with couple more pleaseeee!!

Pinky1234
Best Response
You've already chosen the best response.
1
\[64\times16^{3x}=16^{3x2}\]

jim_thompson5910
Best Response
You've already chosen the best response.
1
3x + x = 1
2x = 1
x = 1/2
good

Pinky1234
Best Response
You've already chosen the best response.
1
thanks

jim_thompson5910
Best Response
You've already chosen the best response.
1
\[64\times16^{3x}=16^{3x2}\]
\[(4^3)\times(4^2)^{3x}=(4^2)^{3x2}\]
\[(4^3)\times4^{2(3x)}=(4)^{2(3x2)}\]
\[(4^3)\times4^{6x}=(4)^{6x4}\]
\[4^{3+(6x)}=(4)^{6x4}\]
\[4^{36x}=(4)^{6x4}\]

Pinky1234
Best Response
You've already chosen the best response.
1
I got an answer: \[x=\frac{ 7 }{ 12 }\]


Pinky1234
Best Response
You've already chosen the best response.
1
\[\frac{ 81^{3n+2} }{ 243^{n} }=3^{4}\]

Pinky1234
Best Response
You've already chosen the best response.
1
oh maybe I can do this one let me try first :)

jim_thompson5910
Best Response
You've already chosen the best response.
1
alright, tell me what you get

Pinky1234
Best Response
You've already chosen the best response.
1
I got \[\frac{ 4 }{ 17 }\]

jim_thompson5910
Best Response
You've already chosen the best response.
1
you nailed it

Pinky1234
Best Response
You've already chosen the best response.
1
:)

Pinky1234
Best Response
You've already chosen the best response.
1
\[81\times9^{2b2}=27\]

jim_thompson5910
Best Response
You've already chosen the best response.
1
tell me what you get

Pinky1234
Best Response
You've already chosen the best response.
1
ok

Pinky1234
Best Response
You've already chosen the best response.
1
oh I got that one \[\frac{ 3 }{ 4 }\]

jim_thompson5910
Best Response
You've already chosen the best response.
1
good, that's correct

Pinky1234
Best Response
You've already chosen the best response.
1
ok

Pinky1234
Best Response
You've already chosen the best response.
1
\[\left(\begin{matrix}1 \\ 6\end{matrix}\right)^{3x+2}\times216^{3x}=\frac{ 1 }{ 216 }\]

jim_thompson5910
Best Response
You've already chosen the best response.
1
and what did you get

Pinky1234
Best Response
You've already chosen the best response.
1
I m having trouble starting it but still trying

jim_thompson5910
Best Response
You've already chosen the best response.
1
\[\Large \left(\frac{1}{6}\right)^{3x+2}\times216^{3x}=\frac{ 1 }{ 216 }\]
\[\Large \left(6^{1}\right)^{3x+2}\times(6^3)^{3x}=6^{3}\]
\[\Large \left(6\right)^{(3x+2)}\times(6)^{9x}=6^{3}\]
\[\Large 6^{(3x+2)+9x}=6^{3}\]

Pinky1234
Best Response
You've already chosen the best response.
1
oh I only messed up with one sign