If log 10 7 = a, then log 10 \(\left(\frac{1}{70}\right)\) is equal to: Options: A . &nbsp- (1 + a) B . &nbsp(1 + a) -1 C . &nbsp \(\frac{a}{10}\) D . &nbsp \(\frac{1}{10a}\)

Answer: Option A log 10 \(\left(\frac{1}{70}\right)\) = log 10 1 - log 10 70 = - log 10 (7 x 10) = - (log 10 7 + log 10 10) = - (a + 1).

If log10 7 = a, then log10 \(\left(\frac{1}{70}\right)\) &nb

Question

If log₁₀ 7 = a, then log_{10 \(\left(\frac{1}{70}\right)\)}is equal to:

Options:

A . - (1 + a)

B . (1 + a)^-1

C . \(\frac{a}{10}\)

D . \(\frac{1}{10a}\)

Answer: Option A

log_{10 \(\left(\frac{1}{70}\right)\)}= log₁₀ 1 - log₁₀ 70

= - log₁₀ (7 x 10)

= - (log₁₀ 7 + log₁₀ 10)

= - (a + 1).

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