Question

log; (4-5x) - log, 1000 = log; X
If
then what is the value of x?
O 1/3
O 1/8
O 1/10
O 1/30​

Answer 1

Answer:

1/10 is the value of x

plz mark as brainlest answer

Answer 2

The correct answer is $\frac{4}{1005}$.

Given: The equation = log(4 - 5x) - log 1000 = log x.

To Find: The value of x.

Solution:

log(4 - 5x) - log 1000 = log x

log(4 - 5x) - log x = log 1000

Property:

log m - log n  = log $\frac{m}{n}$

log $\frac{4-5x}{x}$ = log 1000

Take antilog both the sides so that log gets removed.

$\frac{4-5x}{x}$ = 1000

4 - 5x = 1000x

1005x = 4

x = $\frac{4}{1005}$

Hence, the value of x is $\frac{4}{1005}$.

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