Question 437892
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Hi
In reply: yes, that x was not shown. See below had it been.

*[tex \LARGE\ \ log_8x^2 -  log_8x^(2/3) + log_8x^4 = log_8(x^6/x^(2/3)) ]

log_8(x^6/x^(2/3)) = log_8(x^(16/3))     |Note: x^(18/3-2/3)= x^(16/3)

become familiar with the Properties
{{{x^m/x^n=x^(m-n)}}}
{{{( x^m )( x^n ) = x^( m + n )}}}
{{{(a^p)^q = a^(p*q)}}}
{{{root(a,p)*root(a,q) = root(a,p*q)}}}

*[tex \large\ \ nlog_bx = log_b(x^n) ]
*[tex \large\ \ log_bx + log_by = log_b(xy) ]
*[tex \large\ \ log_bx - log_by = log_b(x/y) ]
*[tex \large \ \ \ \ \ \ \ \ \ \ log_b(x) \ = \ y \ \ \Rightarrow\ \ b^y = x]