Question

Expand log 243
/125.​

Answer 1

Answer:

(234) /(125)

Step-by-step explanation:

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Answer 2

Given : log (243/125)

To Find :  Expand / Solve

Solution:

Using log (a/b)  = log a - log b

log (243/125)

= log 243  - log 125

243 = 3* 3 * 3 * 3 * 3 = 3⁵

125 = 5 * 5 * 5 = 5³

=  log 3⁵  - log 5³

using log aⁿ   = n log a

= 5 log 3  - 3 log 5

log (243/125)  = 5 log 3  - 3 log 5

log 3 = 0.477

log 5 = 0.699

= 5 (0.477) - 3 (0.699)

= 0.288

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