Question

expand log 10 to the power of 385

Answer 1

We first get the prime factors of 385.

385 = 5 × 7 × 11

Using the logarithmic formula to represent this in logarithm form.

Formula :

㏒ₐᵇ = n

aⁿ= b

a = the base, b=number, n = power

In this case the powers are 5, 7 and 11

㏒₁₀x = 5

x = 10⁵

㏒₁₀y = 7

y = 10⁷

㏒₁₀z= 11

z = 10¹¹

Writing this in logarithm.

㏒₁₀10⁵+ ㏒₁₀10⁷+ ㏒₁₀10¹¹

This is the expansion of ㏒ 10 to the power of 385.

Answer 2

Answer:

above will be your answer.

thank you.