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rosedewittbukater
Group Title
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)
 one year ago
 one year ago
rosedewittbukater Group Title
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)
 one year ago
 one year ago

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rosedewittbukater Group TitleBest ResponseYou've already chosen the best response.0
And I need help with 2 log3 x = 54
 one year ago

whpalmer4 Group TitleBest 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.
 one year ago

whpalmer4 Group TitleBest 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?
 one year ago

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

whpalmer4 Group TitleBest ResponseYou've already chosen the best response.2
I'm suspicious that the second problem isn't correct...
 one year ago

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

rosedewittbukater Group TitleBest ResponseYou've already chosen the best response.0
for 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
 one year ago

whpalmer4 Group TitleBest ResponseYou've already chosen the best response.2
I 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)
 one year ago

musiclover101 Group TitleBest ResponseYou've already chosen the best response.0
it would bedw:1357961835423:dw
 one year ago

musiclover101 Group TitleBest ResponseYou've already chosen the best response.0
and so the answer is 8 if you solve for x
 one year ago
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