Log4 (4,5 – 3x) = log4 4,5 – log4

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Rewriting the equation using the properties of logarithms, we have:

log4 (4,5 – 3x) = log4 4.5 - log4

Now, we know that log4 4.5 = 1 because 4^1 = 4.5. So we can rewrite the equation as:

log4 (4,5 – 3x) = 1 - log4

Next, we can use the property that log (a - b) = log a - log b to split the logarithm on the left side:

log4 4,5 - log4 3x = 1 - log4

We know that log4 4.5 = 1 and log4 3x = log4 3 + log4 x = log4 3 + x. So the equation becomes:

1 - (log4 3 + x) = 1 - log4

Simplifying further, we get:

1 - log4 3 - x = 1 - log4

Therefore, the final equation is:

1 - log4 3 - x = 1 - log4