2. Expand log 385.10

1.	2. Expand log 385.10
Answer» We first get the prime factors of 385. 385 = 5 × 7 × 11 Using the logarithmic formula to represent this in logarithm form. Formula : ㏒ₐᵇ = naⁿ= ba = the base, b=number, n = power In this case the powers are 5, 7 and 11 ㏒₁₀x = 5x = 10⁵㏒₁₀y = 7y = 10⁷㏒₁₀z= 11z = 10¹¹ Writing this in logarithm. ㏒₁₀10⁵+ ㏒₁₀10⁷+ ㏒₁₀10¹¹This is the expansion of ㏒ 10 to the power of 385.

Answer»

We first get the prime factors of 385.

385 = 5 × 7 × 11

Using the logarithmic formula to represent this in logarithm form.

Formula :

㏒ₐᵇ = naⁿ= ba = the base, b=number, n = power

In this case the powers are 5, 7 and 11

㏒₁₀x = 5x = 10⁵㏒₁₀y = 7y = 10⁷㏒₁₀z= 11z = 10¹¹

Writing this in logarithm.

㏒₁₀10⁵+ ㏒₁₀10⁷+ ㏒₁₀10¹¹This is the expansion of ㏒ 10 to the power of 385.

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