SOLUTION: Solve a) log(base 2)x + log(base 4 ) x = 5 Can you please help me out? Thanks so much in advance:)

Algebra.Com
Question 872303: Solve
a) log(base 2)x + log(base 4 ) x = 5
Can you please help me out? Thanks so much in advance:)

Found 2 solutions by josgarithmetic, lwsshak3:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!

Using change-of-base formula,

, and I did not show the two separate steps;






, ... to the tenth power to the three power



Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Solve
a) log(base 2)x + log(base 4 ) x = 5






x=2^(10/3)≈10.0796…

RELATED QUESTIONS

1. Solve the following equations a) log(base 5)x+2 + log(base 5) x-2 - log(base 5)4 =... (answered by mananth)
Solve a) log(base 2)(x-5) + log(base 2) (x-2) = 2 Can you please help me out? Thanks so (answered by nerdybill)
Solve a) log( base 4) (x+3) + log( base 4) (x-3) = 2 Can you please help me out?... (answered by lwsshak3)
Solve a) log(base 5)(x^2 - 4) - log(base 5)(4) = log(base 5)(3) b) log(base 5)(x+2) = 1 (answered by josgarithmetic)
Solve a)log(base 2)(x+1) + log(base 2)(x-1) = 3 b)log(base 2)(x+2) = 2 - log(base... (answered by ankor@dixie-net.com)
Solve a) log(base 5)x + log(base 10) x =5 Can you please help me out? Thanks so much in (answered by lwsshak3)
Solve a) log(base 8)(x+1) - logx = 2 Can you please help me out? Thanks so much in... (answered by jim_thompson5910)
Solve a) log(base 3)x^2 - log(base 3)2x = 2 Can you please help me out? Thanks so much (answered by Alan3354)
Solve and check a)2logm + 3logm = 10 b)log(base 3)x^2 - log(base 3)2x = 2 c)log(base... (answered by solver91311)