algebra

What is the discriminant of the equation \(4x^2=8x-5\)?

Given the equation \(3x^2+Bx+12=0\). What is the value of \(B\) so that the roots of the equation are equal?

What is the coefficient of the term free of \(x\) of the expansion of \((2x-5y)^4\)?

What is the sum of the coefficients in the expansion of \((x+y-z)^8\)?

Find the value of \(\log_8 48\).

Evaluate the \(\log_6 845 = x\).

What is the value of \(\log\) to base 10 of \(1000^{3.3}\)?

What is the value of (\(\log\) 5 to the base 2) + (\(\log\) 5 to the base 3)?

Find the value of \(\log_4 (\log_3 5)\).

Given: \(\log_4 7 = n\). Find \(\log_4 \frac{1}{7}\)

Which value is equal to \(\log\) to the base \(e\) of \(e\) to the \(-7x\) power?

Log of the \(n^{th}\) root of \(x\) equals \(\log\) of \(x\) to \(1/n\) power and also equal to

\(\log (MN)\) is equal to:

What expression is equivalent to \(\log(x) - \log(y+z)\)?

If \(\log\) of 2 to the base 2 plus \(\log\) of \(x\) to the base 2 is equal to 2, then the value of \(x\) is,

Find the value of \(x\) if \(\log_{12} x = 2\).

Paula is now \(18\) years old and his colleague Monica is \(14\) years old. How many years ago was Paula twice as old as Monica?

A pump can pump out water from a tank in \(11\) hours. Another pump can pump out water from the same tank in \(20\) hours. How long will it take both pumps to pump out the water in the tank?

A tank is filled with an intake pipe in \(2\) hours and emptied by an outlet pipe in \(4\) hours. If both pipes are opened, how long will it take to fill the empty tank?

If A can do the work in "\(x\)" days and B in "\(y\)" days, how long will they finish the job working together?