What is the value of n in the equation 2.3 × 109 = (1 × 103)(2.3 × 10n)?
1 answer:
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Answer: 1) Product property of logarithm,
2) Subtraction property of logarithm
3) Equality property of logarithm
Step-by-step explanation:
By the Product property of logarithm,
log a + log b = log(a.b)
And, By the Subtraction property of logarithm
log a - log b = log(a/b)
Also, by the equality property of logarithm,
log(a) = log(b) ⇒ a = b
Given expression,
(Product property of logarithm)
(Subtraction property of logarithm)
( Equality property of logarithm )
( Multiplicative property of equality )
( Distributive property of equality )
(subtraction property of equality )
(division property of equality )
