Additional Mathematics – Logarithmic and exponential functions | e-Consult
Logarithmic and exponential functions (1 questions)
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Using the power rule, 2 loga y = loga(y²) and ½ loga z = loga(z^{½}) = loga(√z).
Applying the product and quotient rules:
loga x + loga(y²) − loga(√z) = loga\(\dfrac{x\,y^{2}}{\sqrt{z}}\).
Hence the single logarithm is loga(x y² ⁄ √z).