SOLUTION: Solve the equation log_3 (log_2 x) = 2.

Algebra.Com
Question 1062483: Solve the equation log_3 (log_2 x) = 2.
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

log_3(log_2(x)) = 2
log_3(n) = 2 ==> n=3^2=9
log_2(n) = 9 ==> n=2^9=512

Ans: x = 512

Chk: log_3(log_2(512)) = log_3(log_2(2^9)) = log_3(9) = log_3(3^2) = 2.

RELATED QUESTIONS

Solve the equation. Show all the steps please: log (4+x) - log (x-3) = log... (answered by amarjeeth123)
solve the equation. log base b (X+3) = log base b (8) - log base b... (answered by lwsshak3)
Solve the equation {{{log(16,(x))+log(8,(x))+log(4,(x))+log(2,(x))=6}}} (answered by jim_thompson5910)
Solve the equation log(x+2)+log(x-2)=log5 (answered by MathLover1,ewatrrr,ikleyn)
solve the equation:... (answered by nerdybill)
solve the equation. log(x+2)= -log(x-1)... (answered by Alan3354)
Solve the logarithmic equation. log x + log(x + 48) = 2 (answered by josmiceli,MathLover1)
How to solve the equation? Log base 2 (x+2) – log base 2 (x-5) =... (answered by stanbon)
Solve the logarithmic equation: Log (base 2(x+3)+log(base... (answered by lwsshak3)
Please help me solve this equation:... (answered by lwsshak3)