Math, asked by riyas072, 6 months ago

Log(3) 9+log(5) 625+log(7)343 is

Answers

Answered by thenewbee
2

Step-by-step explanation:

heres ur ans

just substitute values and add

and thts enough

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Answered by Dhruv4886
0

The answer is 9

Given problem: ㏒₃ 9 + ㏒₅ 625 + ㏒₇ 343

To find: The value of ㏒₃ 9 + ㏒₅ 625 + ㏒₇ 343  

Solution:

㏒₃ 9 + ㏒₅ 625 + ㏒₇ 343  

⇒ ㏒₃ 3² + ㏒₅ (5)⁴ + ㏒₇ 7³  

⇒ 2 ㏒₃ 3 + 4 ㏒₅ 5 + 3 ㏒₇ 7    [ ∵ ㏒ a ᵇ =  b ㏒ a ]

= 2 (1) + 4 (1) + 3 (1)                    [ ∵ ㏒ₐ a = 1 ]  

= 2 + 4 + 3 = 9

Therefore, ㏒₃ 9 + ㏒₅ 625 + ㏒₇ 343 = 9

#SPJ2

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