91Ó°ÊÓ

Give an example of an exponential equation and its related logarithmic equation.

Give an example of a value of $b$ for which $y=b^x$represents exponential decay.

Evaluate the expression $3^{{\log }_{3}21}$.

Determine whether the function $y=0.3{\left(5\right)}^x$represents exponential growth or decay.

Evaluate the expression ${\log }_5{5}^{-1}$.

Write an exponential function whose graph passes through the points $\left(0,3\right)\text{and}\left(-1,6\right)$.

Write an exponential function whose graph passes through the points $\left(0,-18\right)\text{and}\left(-2,-2\right)$.

Simplify the expression $2^{\sqrt{7}}·2^{\sqrt{7}}$.

Simplify the expression ${\left(a^{\mathrm{Ï€}}\right)}^4$.

Simplify the expression ${81}^{\sqrt{2}}÷3^{\sqrt{2}}$.