Question

If b² = ac, prove that, log a + log c = 2log ab

Answer 1

concepts : $log(AB)=logA+logB$.....(1)

$log\frac{A}{B}=logA-logB$........(2)

$logA^n=nlogA$.........(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 .