Math Test: Exponential and Logarithmic Equations

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5 Questions

What is the solution to the exponential equation $2^{x} = 16$?

$x = 4$

Which of the following represents the correct transformation for the exponential function $f(x) = 3 imes 2^x$?

$f(x) = 3^{2x}$

What is the solution to the logarithmic equation $rac{1}{3} ext{ln}(x) = 2$?

$x = e^{6} / 3$

Which of the following is a correct expression for compound interest when it is compounded continuously?

$A = Pe^{rt}$

How can the logarithmic equation $ ext{log}_2(8) + ext{log}_2(4) - ext{log}_2(2)$ be simplified?

$ ext{log}_2(8 imes 4 imes 2)$

This math test covers topics such as solving exponential and logarithmic equations, compound interest, continuous interest, growth and decay of interest, transformations of equations, expanding and condensing logarithmic equations, and rewriting equations. Test your skills in various mathematical concepts!

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