QUESTION 21
Condense the expression to the logarithm of a single quantity.
ln310 + ln3x
ln3(10 - x)
ln310/x
ln3(10 + x)
ln310x
ln310x
ln(310*3x) ln(930x)
...
Hmmm I suspect you mean log base 3 instead of ln. ln is the natural log, using base e=2.71828...
So, since all your logs are base 3, let's just write log, since there is no confusion.
log(10)+log(x) = log(10x)
log(10-x) cannot be simplified
log(10/x) = log(10)-log(x)
To condense the expression ln310 + ln3x into the logarithm of a single quantity, we can use the property of logarithms that states ln(a) + ln(b) = ln(ab).
In this case, we have ln310 + ln3x, which can be combined as ln(310x).
So, the condensed form of the expression is ln(310x).