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Question Number 117140 by aurpeyz last updated on 09/Oct/20

Answered by bemath last updated on 10/Oct/20

$$=2[1-\log {}_7\left(3\right)-\log {}_7\left(5\right)]+$$$$7[2\log {}_7\left(5\right)-\log {}_7\left(3\right)-2\log {}_7\left(2\right)]-$$$$2[1-\log {}_7\left(3\right)]$$$$=2[1-2\log {}_7\left(3\right)-2\log {}_7\left(5\right)+$$$$14\log {}_7\left(5\right)-7\log {}_7\left(3\right)-14\log {}_7\left(2\right)-$$$$2+2\log {}_7\left(3\right)$$$$=4-9\log {}_7\left(3\right)+10\log {}_7\left(5\right)-14\log {}_7\left(2\right)$$$$=4-9.(0.566)+10.(0.827)-14.(0.356)$$

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