Simplify $\frac{{\left(4x^2\right)}^4}{4x^3}$.

Simplify $\frac{{\left(4x^4\right)}^4}{4x^5}$.

Solve $\log (x)+\log \left(x-9\right)=1$.

Which equation is the exponential form of ${\log }_5\left(25\right)=2$?

Expand $\ln \left(\frac{x^4\sqrt{y}}{z^2}\right)$ as far as the log laws allow.

Expand $\ln \left(\frac{x^3\sqrt{y}}{z^3}\right)$ as far as the log laws allow.

Solve $\log (x)+\log \left(x-15\right)=2$.

Expand $\ln \left(\frac{x^5\sqrt{y}}{z^3}\right)$ as far as the log laws allow.

Write $3{\log }_{5}x-{\log }_{5}y$ as a single logarithm.

What is the exact value of ${\log }_5\left(125\right)$?

Simplify $e^{8\ln x}$ for $x>0$.

Expand $\log \left(\frac{x^4\sqrt{y}}{z^5}\right)$ as far as the log laws allow.

Expand $\ln \left(\frac{x^2\sqrt{y}}{z^4}\right)$ as far as the log laws allow.

Solve $e^{4x}=18$ for $x$, in exact form.

Solve $e^{2x}=8$ for $x$, in exact form.

What is the exact value of ${\log }_{10}\left(100000\right)$?

Which equation is the exponential form of ${\log }_7\left(2401\right)=4$?

Simplify $\frac{{\left(2x^2\right)}^4}{4x^3}$.

Write $3{\log }_{2}x+{\log }_{2}y$ as a single logarithm.

Which equation is the exponential form of ${\log }_2\left(16\right)=4$?

Write $5{\log }_{7}x-{\log }_{7}y$ as a single logarithm.

Solve $e^{3x}=9$ for $x$, in exact form.

What is the exact value of ${\log }_4\left(1024\right)$?

Which equation is the exponential form of ${\log }_2\left(8\right)=3$?

Simplify $e^{6\ln x}$ for $x>0$.

What is the exact value of ${\log }_{10}\left(10000\right)$?

Write $4{\log }_{2}x+{\log }_{2}y$ as a single logarithm.

Expand $\ln \left(\frac{x^3\sqrt{y}}{z^5}\right)$ as far as the log laws allow.

Solve $\log (x)+\log \left(x-21\right)=2$.

Simplify $\frac{{\left(4x^2\right)}^3}{4x^3}$.

Solve $\log (x)+\log \left(x-30\right)=3$.

What is the exact value of ${\log }_6\left(216\right)$?

Simplify $\frac{{\left(4x^4\right)}^2}{4x^5}$.

Simplify $\frac{{\left(5x^2\right)}^3}{5x^3}$.

Solve $e^{2x}=5$ for $x$, in exact form.

Solve $e^{3x}=7$ for $x$, in exact form.

Write $3{\log }_{7}x-{\log }_{7}y$ as a single logarithm.

Solve $e^{4x}=14$ for $x$, in exact form.

What is the exact value of ${\log }_3\left(81\right)$?

Write $2{\log }_{3}x-{\log }_{3}y$ as a single logarithm.