Question

prove that 2 log b = log a + log c​

Answer 1

Answer:

Concepts :

$log(ab) = log \: a \: \: + log \: b$

....1

$log \frac{a}{b} = log \: a - log \: b$

....2

$log \: {a}^{n} = nlog \: a \:$

....3

it is given that, b² = ac

taking log both sides,

logb² = logac

or, 2logb = logac [ using formula (3), ]

or, 2logb = loga + logc [ using formula (1), ]

it seems , you did mistake in typing.

question should be If b² = ac, prove that, log a + log c = 2logb .

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