Question

log10 0.001 =-4 in exponental form

Answer 1

$\bold{Answer :}$

{ Correcting the mistakes, we prove the problem as follows. }

Now,

log₁₀ (0.0001)

= (logₑ 0.0001)/(logₑ 10) [∵ logₐb = (logₑb)/(logₑa) ]

= (logₑ 10⁻⁴)/1 [ ∵ logₑ 10 = 1 ]

= (- 4) logₑ (10) [ ∵ log aᵇ = b loga ]

= - 4

Hence, proved.

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