A community for students.
Here's the question you clicked on:
 0 viewing
rosedewittbukater
 3 years ago
Algebra 2 help and explanation? I get confused when the base of the log isn't 10.
Solve the equation and round to the nearest tenthousandth.
log2 4x = 5
(2 is the base)
rosedewittbukater
 3 years ago
Algebra 2 help and explanation? I get confused when the base of the log isn't 10. Solve the equation and round to the nearest tenthousandth. log2 4x = 5 (2 is the base)

This Question is Closed

rosedewittbukater
 3 years ago
Best ResponseYou've already chosen the best response.0And I need help with 2 log3 x = 54

whpalmer4
 3 years ago
Best ResponseYou've already chosen the best response.2\[log_2{4x} = 5\] Raise both sides to the 5th power of the log base to get rid of the log: \[4x = 2^5\] \[x= 32/4 = 8\] Check our work: \[log_2{(4*8)} = 5\] \[2^5 = 32 = 4*8\] Remember the logarithm base n of x is just the number to which you raise n to get x. So, the log base 2 of 32 is 5, because 2^5 = 32.

whpalmer4
 3 years ago
Best ResponseYou've already chosen the best response.2\[2\log_3 x = 54\] I'd divide both sides by 2 to get \[\log_3 x = 27\] Can you tell me what x is now?

whpalmer4
 3 years ago
Best ResponseYou've already chosen the best response.2Or is the equation \[2\log{(3x)}=54\]?

whpalmer4
 3 years ago
Best ResponseYou've already chosen the best response.2I'm suspicious that the second problem isn't correct...

rosedewittbukater
 3 years ago
Best ResponseYou've already chosen the best response.0@whpalmer4 thanks so much! The second one has a base of 3.

rosedewittbukater
 3 years ago
Best ResponseYou've already chosen the best response.0for the second one I changed it to log3 x^2 = 54 and then 3^54 = x^2 3^27 = x x = 7.625 times 10^12

whpalmer4
 3 years ago
Best ResponseYou've already chosen the best response.2I would check your rounding carefully on that last one, you've gotten the right number, it would be a shame to still get it wrong (I'm not taking a position either way)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0it would bedw:1357961835423:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0and so the answer is 8 if you solve for x
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.