If log ab -log b -3-2- Given that b -4- find the value of a-A- 4B- 64C- 16D- 2

The correct option is C 16log ab =log a + lob b log a+log b/log a=3/2 1+(log b/log a )=3/2 log b/log a=1/2 log_b a=2 Now, log_4a=2 a =16 ...

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Fundamental Laws of Logarithms

If log ab /lo...

Question

If $\frac{l o g (a b)}{l o g b} = \frac{3}{2}$ ,Given that b = 4, find the value of a.

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2^{(\sqrt{l o g_{a} \sqrt[4]{a b} + l o g_{b} \sqrt[4]{a b}} - \sqrt{l o g_{a} \sqrt[4]{b / a} + l o g_{b} \sqrt[4]{a / b}}) . \sqrt{l o g_{a} b}}

= {\begin{matrix} 2, b \geq a \geq 1 2^{l o g_{a} b}, 1 < b < a \end{matrix}

Find the value of log a + log b - log ab.

{log}_{a b} a = \frac{1}{3}

{log}_{a b} (\frac{\sqrt{a}}{\sqrt[3]{b}})

{l o g}_{b} x \times {l o g}_{a} b =

l o g_{a} b = 4, l o g_{c} d = 2

a, b, c, d

b - d = 7

c - a

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