Determine whether the function f(x) = 10$^x$ is even, odd, or neither.

Translate the exponential statement k$^{27}$ = 10,134 into an equivalent logarithmic one.

Use graphical or algebraic means to determine whether the statement ln $\left(\frac{1}{x}\right)$ = $\frac{1}{\ln x}$ is true or false.

Translate the given exponential statement 10$^{3k}$ = 6r into an equivalent logarithmic statement.

Use graphical or algebraic means to determine whether the statement ln |x| = |ln x| is true or false.

Translate the given exponential statement 10$^{.4771}$ = 3 into an equivalent logarithmic statement.

Translate the exponential statement 3$^{-3}$ = 1/9 into an equivalent logarithmic one.

Translate the given exponential statement 10$^{3}$ = 1000 into an equivalent logarithmic statement.

Translate the exponential statement 5$^{-3}$ = 1/125 into an equivalent logarithmic one.

Let u = ln x and v = ln y. Write the expression ln $\left(\dfrac{\sqrt[3]{x^2y^2}}{x^5}\right)$ in terms of u and v. For example, ln x$^3$y = ln x$^3$ + ln y = 3 ln x + ln y = 3u + v.

Translate the exponential statement 7$^{8}$ = 5,764,801 into an equivalent logarithmic one.

Let u = ln x and v = ln y. Write the expression ln ($\sqrt[3]{x^2\sqrt{y}}$) in terms of u and v. For example, ln x$^3$y = ln x$^3$ + ln y = 3 ln x + ln y = 3u + v.

Translate the given exponential statement 10$^{-2}$ = .01 into an equivalent logarithmic statement.

Find all real solutions of the equation $\sqrt{4x^2 - 10x + 5}$ = x - 3. Find exact solutions when possible and approximate ones otherwise.