Question

Solve the logarithmic equation. Be sure to reject any value of log (X + 8) = log x + log 8​

Answer 1

Answer:

$x = \frac{8}{7}$

Step-by-step explanation:

$log(x + 8) = log(x) + log(8) \\ (x + 8) = 8x \\ x + 8 = 8x \\ 8 = 8x - x \\ 8 = 7x \\ \frac{8}{7} = \frac{7x}{7} \\ x = \frac{8}{7}$

Answer 2

Answer:

x = 8/7

Step-by-step explanation:

log (X + 8) = log x + log 8​

We know that log a + log b = log ab

log (X + 8) = log 8x

Raise each side to base 10

10^log (X + 8) = 10^log 8x

x+8 = 8x

Subtract x from each side​

x+8-x = 8x-x

8 = 7x

Divide by 7

8/7 = 7x/7

8/7 =x