We are given: \(\displaystyle{\ln{{\left({\ln{{x}}}\right)}}}={2}\)

Write in exponential form: \(\displaystyle{\ln{{x}}}={a}\to{e}^{{2}}={x}\)

Write in exponential form again: \(e^{e^2}=x\)

or

\(x=e^{e^2}\sim{1618.178}\)

Question

asked 2021-08-17

Evaluate the maximum rate of change of \(\displaystyle{f{{\left({x},{y}\right)}}}={\ln{{\left({x}^{{2}}+{y}^{{2}}\right)}}}\) at the point (3,2) and the direction in which it occurs.

What is maximum rate of change and direction(unit vector) in which it occurs?

What is maximum rate of change and direction(unit vector) in which it occurs?

asked 2021-08-14

If \(\displaystyle{\log{

asked 2021-08-20

Solve \(\displaystyle{\left({\log{{\left({7}{x}\right)}}}\right)}{\log{{x}}}={5}\)

asked 2021-05-08

Solve \(\displaystyle{\left({\log{{\left({7}{x}\right)}}}\right)}{\log{{x}}}={5}\)