Question

tog (x-7)
5= 1 then the value of x is​

Answer 1

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Answer 2

Step-by-step explanation:

Given :-

log (x-7) to the base 5 = 1

To find :-

Find the value of x ?

Solution :-

Given equation is log (x-7) to the base 5 = 1

=> 5¹ = x-7

=> 5 = x-7

=> 5+7 = x

=> 12 = x

=> x = 12

Therefore, x = 12

Answer:-

The value of x = 12

Check :-

LHS = log (12-7) to the base 5

=> log 5 to the base 5

=> 1

=> RHS

LHS = RHS is true for x = 12

Used formulae:-

→ a^x = N => log N to the base a = x

→ log a to the base a = 1