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Chapter 5: Indices and Logarithms
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\[If~3^{m+1}=5^{n-1}=15^p,show~that~p(m+n)=(m+1)(n-1)\]
@ganeshie8
you need 2 concepts here - you can do it with these: First \[\log a^{n} = nlog a\] so \[\log 3^{m+1} = (m+1) \log 3\] Second Log (a*b) = log a + log b so log 15 = log (5*3) = log5 + log 3 Armed with that information - have a go at solving for yourself
come on Laino. what are you doing?
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