Question

The expression is the result of applying the change of base formula to a logarithmic expression.

Which could be the original expression?

Answer 1

x= 8 is the correct answer

Answer 2

x = 8

Explanation:

Given equation is,

`log_5(10x-1)=log_5(9x+7)`

We know that,

`log_a(b)=log_a(c)\implies b = c`

`\implies 10x -1 = 9x + 7`

Subtracting 9x on both sides,

`x - 1 = 7`

Adding 1 on both sides,

`x = 8`

Hence, the solution would be x = 8