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Popular >

simplify ln(b)-ln(z/a)

Solution

simplify

ln (b) - ln (\frac{z}{a})

Solution

ln (\frac{ba}{z})

Solution steps

ln (b) - ln (\frac{z}{a})

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (b) - ln (\frac{z}{a}) = ln (\frac{b}{\frac{z}{a}})

= ln (\frac{b}{\frac{z}{a}})

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= ln (\frac{ba}{z})

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Frequently Asked Questions (FAQ)

What is ln(b)-ln(z/a) ?
The solution to ln(b)-ln(z/a) is ln((ba)/z)