Which value of z would satisfy the expression log27 (3log2 (1 + log3 (1 + 2log2z)) = 1 / 3?

Logarithms topics include: Logarithms, functions and properties of logarithms, change of base, expanding and condensing logarithms.   Here are some logarithm formulas and properties: Logarithm of a number: The power to which a base must be raised to obtain that number. Logarithm of a positive real number: If ax = y, then component x is the logarithm of y to the base a. Logarithm of a number with zeros: The logarithm of a number with 'n' zeros immediately after the decimal is -- (n + 1) + the decimal. Logarithm of a number greater than 1: The characteristic is positive and is one less... Show more

Logarithms topics include: Logarithms, functions and properties of logarithms, change of base, expanding and condensing logarithms.
 

Here are some logarithm formulas and properties:
Logarithm of a number: The power to which a base must be raised to obtain that number.
Logarithm of a positive real number: If ax = y, then component x is the logarithm of y to the base a.
Logarithm of a number with zeros: The logarithm of a number with 'n' zeros immediately after the decimal is -- (n + 1) + the decimal.
Logarithm of a number greater than 1: The characteristic is positive and is one less than the number of digits to the left of the decimal point. 

Here are some other logarithm formulas and properties:
log aa=1
log a1=0
log a(m⋅n)= log am + log an
log a(m/n)=log am - log an
log a(1/m)= - log a m
log am p= p * log am
log am = log bm/log ba
a logb= b loga 

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