Exponential and Logarithmic Functions

If $5^x = 125$, what is the value of $2^{x+1}$?

If $e^x = e^7$, what is the value of $x$?

What is the minimum number of points where the axis-symmetric function given by $f(x) = \\ln(\\left| x \\right|)$ must be evaluated in different quadrants of a Cartesian plane to determine its entire graph?

If $f(x) = e^x$, what is $f(0)$?

For what value(s) of x does the inequality $e^{2x}-7 < e^x +41$ hold true?

Which characteristic is unique to numerical methods when solving logarithmic inequalities?

What is the value of x in the equation $2^x = 8$?

What is $\log_{10}(100)$?

Solve for y in the equation $\log(y) = 0$.

Solve for y in the equation $e^y=7$.