Logarithm 9) solve for P ( in terms of Q)Log (P - Q) = lop P - log Q

AlexeyVMP asked Feb 22, 2023

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AlexeyVMP asked Feb 22, 2023

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19 votes

we have the expression

$\text{log (P}-Q)=\log P-\log Q$

Applying properties of log right side

$\text{log (P}-Q)=\log ((P)/(Q))$

Equate the numbers inside the parenthesis

$P-Q=(P)/(Q)_{}$

Solve for P

$P\lbrack1-(1)/(Q)\rbrack=Q$
$P=(Q)/(\lbrack1-(1)/(Q)\rbrack)$

Simplify

Gilesc answered Feb 28, 2023

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