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Varvara68 [4.7K]
2 years ago
12

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

Mathematics
2 answers:
iogann1982 [59]2 years ago
8 0

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}

swat322 years ago
6 0

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

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