Ask your own question, for FREE!
Mathematics 53 Online
OpenStudy (anonymous):

(1/32)^5x-1 =4^3x-1 solve for x

OpenStudy (anonymous):

I think you are missing some parentheses

OpenStudy (anonymous):

my teacher wrote it that way

OpenStudy (anonymous):

(1/32) to the 5x-1 = 4 to the 3x-1

OpenStudy (anonymous):

Take the log base (1/32) to get: \[\log_{\frac{1}{32}}(4^{3x-1}) = 5x-1 \] remembering that you can bring exponents out of logs you get: $$(3x-1)log_{\frac{1}{32}}(4) = 5x-1$$ now to get rid of the log base (1/32), you apply the rule $$log_n(m) = \frac{ln(m)}{ln(n)}$$ you get: $$\frac{ln(4)}{ln(1/32)} = \frac{5x-1}{3x-1}$$ and then doing some simple algebra and solving for x you get x = 7/31

OpenStudy (anonymous):

woohoo thats the answer i got!!

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
SsTDOGRednek: How many x and y chromosomes do we have? I forget...
3 hours ago 5 Replies 2 Medals
SsTDOGRednek: What Element is I?
4 hours ago 3 Replies 1 Medal
SsTDOGRednek: What is the compound I?
4 hours ago 7 Replies 1 Medal
danielfootball123: HAPPY EASTER!!!!
2 hours ago 25 Replies 3 Medals
ShadowKid3: I drew Leon again (used suggestions from last art post) so Leon v2 :D
6 minutes ago 5 Replies 0 Medals
Puck: for all you amazing people
4 hours ago 4 Replies 2 Medals
Breathless: update on drawing.
12 minutes ago 13 Replies 5 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!