Question

log (x + 4) - log (3x - 2) = 0, then x =


please anyone help me in finding out the value of x
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Answer 1

Answer:

value of x is 3 . hope this will help you out

Answer 2

Answer:

The value of x is 3.

Step-by-step explanation:

Given that log (x + 4) - log (3x - 2) = 0

We know that log $\frac{m}{n}$ = log m - log n

Therefore, on using the above,

=> log $\frac{x + 4}{3x-2}$ = 0

We also know that log 1 = 0

=>  log $\frac{x + 4}{3x-2}$ = log 1

Therefore, taking antilog,

=>  $\frac{x + 4}{3x-2}$ = 1

=> x + 4 = 3x - 2

Separating the constants and the variable,

=> x - 3x = -2 - 4

=> - 2x = -6

=> x = 3

Therefore, the value of x is 3.