Question

. If log10 4 = a, then log10(2560)​

Answer 1

Log10(2560)=log10(4^4*10)
4Log10(4)+log10(10)
4a+1

Answer 2

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log₁₀ 4 = a

log₁₀ 2560

= log₁₀ (256 × 10)

= log₁₀ 256 + log₁₀ 10

           (I used the equation that log(a×b) = log a + log b )

= log₁₀ 4⁴ + 1

= 4 log₁₀ 4 + 1             (I used the equation that log aⁿ = n log a)

= 4a + 1

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