Question

log x + log y = log xy

(is this correct) ?​

Answer 1

Required Answer :-

Yes. The given expression is correct

• log x + log y = log xy ✔️

When we don't have any base. It is assumed that the base is 10.

Extra Knowledge :-

Properties Of Logarithmic expressions :-

$\bullet \quad \sf log_{b}(1) = 0 \\ \\ \bullet \quad \sf log_{b}(b ) = 1 \\ \\ \bullet \quad \sf log_{e} \: x = lnx$

$\\ \bullet \quad \sf log_{ {b}^{q} }( {a}^{p} ) = \dfrac{p}{q} \times log_{b}(a)$

$\\ \bullet \quad \sf log_{b}(a) = \dfrac{ log_{x}(a) }{ log_{x}(b) }$

$\\ \bullet \quad \sf log(x) - log(y) = log \bigg( \dfrac{x}{y} \bigg )$

$\\ \bullet \quad \sf {a}^{ log_{b}(c) } = {c}^{ log_{b}(a) }$