Express as a single log and simplify: logb ^5-2logb square root of x

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First we bring all numbers outside the logs to exponent position and simplify

logb^5 - log(bx^1/2)^2 = logb^5 - logb^2x

Then we apply the rule of logs which states that the difference of two logs can be expressed as the quotient of ONE log:

log(b^5/b^2x)

Now simplify

log(b^3/x)

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