Question

solve.
log2(log3(y))=3

Answer 1

log2(log3(y)) = 3
2^log2(log3(y)) = 2^3
log3(y) = 2^3
3^log3(y) = 3^2^3
y = 3^2^3

Answer 2

y = 3^( (2)(2)(2) )
y = 3^8

Answer 3

Key rule:

\[b^{\log_b(x)} = x\]

example

\[3^{\log_3(x)} = y\]
\[55^{\log_{55}(x)} = y\]

Answer 4

hope you follow

Answer 5

oops those last two examples should equal x not y

Answer 6

sorry about the mistake

Answer 7

its ok and it may b a dumb question but where did youu get the 2 from?

Answer 8

your question is I assumed

\[\log_2(\log_3(y)) = 3\]

Answer 9

yes

Answer 10

so to eliminate \[\log_2\]
I just made put both sides of the equation exponents to 2
then I repeated this step again to eliminate \[\log_3\]

Answer 11

oh ok

Answer 12

REMEMBER THE RULE

\[b^{\log_b(x)} = x\]