SOLUTION: The function f(x) = log2(log3(log2(log3(log2(X))))) has the interval x>=_____ as its maximun domain in real numbers.

Algebra.Com
Question 1037479: The function f(x) = log2(log3(log2(log3(log2(X))))) has the interval x>=_____ as its maximun domain in real numbers.

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
We log3(log2(log3(log2(X))))>0.
==> log2(log3(log2(X))) > 3^0 = 1
==> log3(log2(X)) > 2^1 = 2
==> log2(X) > 3^2 = 9
==> x > 2^9 = 512

RELATED QUESTIONS

Simplify the following expressions: log36 - log3 + log2 6 X log2 - 2 X log4 (answered by lwsshak3)
Graph each function. f(x) = log2 x f(x) = log3 x −... (answered by Alan3354)
Log3 (x-5) =2 Log2(x) + 1/2 log2 (x+4) In (1/100) = x What are the answeres to... (answered by edjones)
If log7(log3(log2(x)))=0, find the value of... (answered by Fombitz,jsmallt9)
Which equals 2^x=3? a. x=2 b. x=log3+log2 c.x=logZ*Zlog2 d.... (answered by Fombitz)
SOLVE. Log4(log3(log2 x))=0 the 4, 3, and 2 are... (answered by Alan3354)
Please help... If log2=x and log3=y,the value log60... (answered by lwsshak3)
Please help me... If log2=x and log3=y,the value log60... (answered by rothauserc)
express the following as a single logarithm... (answered by Alan3354)